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Paper Citation Record · LEDGER

When does a tree activate the random graph?

As of 19 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2507.05697.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.05697 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:41:01.539676Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:02:29.579908Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T16:02:29.669103Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact7
  • verified fuzzy54
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21279f3a-5e0e-479d-8644-5964bfe6b54d · outbound

This paper cites Adler, U.

When does a tree activate the random graph? Adler, U

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.413758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:40:59.994330Z digest=sha256:454bae2ab2d14988477bd2115763f19c7dd86d8a162bf79733dd4cfa1460e121

Observation 82d87b89-0622-4fca-876b-0d95d87cd954 · outbound

This paper cites Aizenman, J.L.

When does a tree activate the random graph? Aizenman, J.L

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.402466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.075914Z digest=sha256:64b4834e34372879546744462519ddacbbaf6a2fdabf5f1bdb369609e2a1369c

Observation 9da0a727-0a7d-460b-9ba8-a130faf295d1 · outbound

This paper cites Ajtai, J.

When does a tree activate the random graph? Ajtai, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.390060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.200446Z digest=sha256:56ffc7d9aa1a23cdf88d12b59de571a279a53f41f350af64201057036cf31e46

Observation 63120782-63e1-4431-8801-bc82dad8f4d6 · outbound

This paper cites Alon, An extremal problem for sets with applications to graph theory , Journal of Combina- torial Theory, Series A, 40 (1985) 82–89.

When does a tree activate the random graph? Alon, An extremal problem for sets with applications to graph theory , Journal of Combina- torial Theory, Series A, 40 (1985) 82–89

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.378775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.323231Z digest=sha256:676cdea5e505dd4fa47fc366ac16ba27b18f709a0f81930d59ede48dbe4d9eec

Observation 026d7923-9de5-497f-ae1d-b264a1e85442 · outbound

This paper cites Ascoli, X.

When does a tree activate the random graph? Ascoli, X

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T19:41:00.424606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:41:00.424606Z digest=sha256:2628427a9ce42abd1b345ca99fe3b7ae21e4fba05e23a139c2feb65c15800ba0

Observation b8f9a28c-14de-49df-af2f-de1aa5f6dffc · outbound

This paper cites Fundamental Groups of Random Clique Complexes.

When does a tree activate the random graph? Fundamental Groups of Random Clique Complexes

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.678801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.512609Z digest=sha256:3b5ae16acf4b801d3ffbff802bb38c600985d8f85b9fb67531ee4cd52aad5fc7

Observation a90d1fc3-e8c8-4e58-9545-90d9a1f698e2 · outbound

This paper cites Babson, C.

When does a tree activate the random graph? Babson, C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.366922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.600504Z digest=sha256:a9b814fd149b2977f4964280a6fa3d83ebbca6578c4c01a707f9f03dc063b4d1

Observation 0bd75418-eecc-4fb1-9944-94beef60f5e7 · outbound

This paper cites Balogh, B.

When does a tree activate the random graph? Balogh, B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.354721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.704123Z digest=sha256:a19462ed9cf3fbb7994ba92c804d56ff69a093f22cc9b1374947758b04a0bd7d

Observation c3ac6f7f-704c-4703-a6a8-e9074a7b2dc0 · outbound

This paper cites Balogh, B.

When does a tree activate the random graph? Balogh, B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.343156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.815519Z digest=sha256:eee5442b586132f524e2c18f7cafc3c8bf867b02afc02c9e268aef578b928d98

Observation 51d0acde-349d-42a8-812f-b3c565cd87ff · outbound

This paper cites Baron, J.

When does a tree activate the random graph? Baron, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.331232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:00.926370Z digest=sha256:e9c43b04adb38ff3038c062e7584d7f385c949729dbd4e4cbb20612fa4936165

Observation 98265ba1-5521-4e0c-9ee4-521a31bed6f9 · outbound

This paper cites Bartha, B.

When does a tree activate the random graph? Bartha, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.319993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.005645Z digest=sha256:1156c6d04307ca61a991b3acf52ad5880737e6bcadd8a80462309bc730bbe09b

Observation e5f50236-7644-4044-b9b1-7982e6f50fa4 · outbound

This paper cites Bernardi, ´E.

When does a tree activate the random graph? Bernardi, ´E

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.308721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.105146Z digest=sha256:002e86695f25c43e3ad520eec7b7486e069f8d45661b9ff1f8209afd22020e94

Observation 77d70494-a588-4a76-b6b1-ebb32316feda · outbound

This paper cites Bidgoli, A.

When does a tree activate the random graph? Bidgoli, A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.297196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.183362Z digest=sha256:6456b4692dc64fe1577add336848dce06fb7cb243570078d921bd7d59245f0ba

Observation 7b709cc1-aae0-469b-929a-a0aee900dc1a · outbound

This paper cites Bollob´ as,Random graphs, second edition, Cambridge University Press, 2001.

When does a tree activate the random graph? Bollob´ as,Random graphs, second edition, Cambridge University Press, 2001

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.285696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.278599Z digest=sha256:1880a9f9506cec7aebf28c9661523eaa61752a1087f13c1795b17237576091e9

Observation 6bf01154-8400-4304-9938-39fde5fe6954 · outbound

This paper cites Bollob´ as, The evolution of sparse graphs , Graph theory and combinatorics (Cambridge, 1983), Academic Press, London, (1984) 35–57.

When does a tree activate the random graph? Bollob´ as, The evolution of sparse graphs , Graph theory and combinatorics (Cambridge, 1983), Academic Press, London, (1984) 35–57

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.274243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.370272Z digest=sha256:ca588d6ad2235da86f9146f53a0fa9b345ef95e46b2975549e5c55fbd3ea02a0

Observation 56308bf7-c0e9-4f52-a40a-4920d0b67171 · outbound

This paper cites Bollob´ as,Weakly k-saturated graphs, Beitr¨ age zur Graphentheorie (Kolloquium, Manebach, 1967), Teubner, Leipzig (1968) 25–31.

When does a tree activate the random graph? Bollob´ as,Weakly k-saturated graphs, Beitr¨ age zur Graphentheorie (Kolloquium, Manebach, 1967), Teubner, Leipzig (1968) 25–31

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.261590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.375496Z digest=sha256:3da97182dd0d908c30479f771b6a174e25e50ecd2d35c9a84dc23d179476a1ca

Observation 33e778dc-a3d3-42af-b2f1-77f92fb0c5f9 · outbound

This paper cites Brightwell, K.

When does a tree activate the random graph? Brightwell, K

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.249257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.379032Z digest=sha256:b80d0444765c8080edeae353309142aae83a072587dbe3f8dd8b510df28e8d37

Observation 483fda9a-6cec-4e15-9b79-b3f75282beb8 · outbound

This paper cites Bulavka, M.

When does a tree activate the random graph? Bulavka, M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.237128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.382166Z digest=sha256:3fd56f93567716f271ac1b77a4586622a7a5a59cb775c0246c07bceb66a5ab0f

Observation c803c86e-3fde-48ea-a79b-0f6dd435fc34 · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:02.225133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.385396Z digest=sha256:d662b0772708a16962e774ee8187603cbd8936f1f84700562fbbe0ba0a6abda4

Observation 69a51417-0c0b-4dbc-b0cb-eb842377be5d · outbound

This paper cites Conlon, W.

When does a tree activate the random graph? Conlon, W

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.213471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.389032Z digest=sha256:d7339ecbebb9407be254f6eda64c23c30d2fd2f5b6da05e0f347aff84c05b60a

Observation aec5f165-ed07-487a-9ff4-e36607f63183 · outbound

This paper cites Costa, M.

When does a tree activate the random graph? Costa, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.202122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.392211Z digest=sha256:cd9bf6990fdf37fa8c7d822c068f312e28944dd0a1c9a39a5dfbd6ac5a61824a

Observation 3c039409-181f-4299-aa94-e82e4af46c17 · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:02.191302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.395578Z digest=sha256:92ae3e00cf6f3a384e4e02b3bec191065795063f3cc6adb72c1cb71dc105dc7b

Observation 91030598-4baf-4ee9-a520-3c1b94a737ed · outbound

This paper cites On the triangle space of a random graph.

When does a tree activate the random graph? On the triangle space of a random graph

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.662785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.398790Z digest=sha256:994ad7180c280007bbc354ae9217fabf6dc2ac3eb1a3e1cf50e3d3716b457226

Observation be09fe7f-0a0a-4a7c-8f2c-54c299ae281c · outbound

This paper cites DeMarco, J.

When does a tree activate the random graph? DeMarco, J

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.180471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.402040Z digest=sha256:48819aaa1d8c5a172578c25c2480a704ac2de4536b154d56e721f4b0878dc616

Observation 656d535a-b670-4f06-be30-526b82b560bb · outbound

This paper cites On the $H$-space of a random graph.

When does a tree activate the random graph? On the $H$-space of a random graph

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.647477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.405099Z digest=sha256:506bfd04955da7fc09bff6ab85e7d06dda11875c4a12cfc182150ecd8ce55aa1

Observation 5ea4ab46-1728-451a-a7b2-80d14bbb2d90 · outbound

This paper cites Erd˝ os, Z.

When does a tree activate the random graph? Erd˝ os, Z

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.169255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.408512Z digest=sha256:f3bf9ac6829be6d0b3fda914f9ce018bd0ba4966f4c4e5ff085957b40a96689c

Observation 0d130292-377a-4990-a00e-4765f4f7b78d · outbound

This paper cites Faudree, R.J.

When does a tree activate the random graph? Faudree, R.J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.158945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.411583Z digest=sha256:d1a8fd03e4f160113e87cfc2401c997bdd2bb78781ad0dc2db6b38f2df6ad625

Observation 535a7d2b-0884-4337-af75-537dfba101a9 · outbound

This paper cites Fontes, R.H.

When does a tree activate the random graph? Fontes, R.H

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.148293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.415050Z digest=sha256:2226ddcef51611ffe89dfe3190506f1f968a7374afe122d72e853af88d9baf8f

Observation 542d4d21-7ccd-46d9-be44-86d066b97ed1 · outbound

This paper cites Frankl, An extremal problem for two families of sets, European J.

When does a tree activate the random graph? Frankl, An extremal problem for two families of sets, European J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.137025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.418328Z digest=sha256:926049af941da7b269bac9da61b413dcf4503677d790428d4d8ebf68c83b2461

Observation b7ad477c-7153-471c-bc72-4e9b897af29d · outbound

This paper cites Frieze, M.

When does a tree activate the random graph? Frieze, M

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.126324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.421406Z digest=sha256:8fbebacce3470348cab7aeff8d1935edfa35d60ee2df653f340b5d487aa344d0

Observation 52ff7ce6-b945-469d-bbcb-db5808e22b6b · outbound

This paper cites Gravner, A.E.

When does a tree activate the random graph? Gravner, A.E

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.115666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.424927Z digest=sha256:35ae0fe2b5d2a18865afb719ed11df490b0e5a97f62c7e9687169d85dfb25745

Observation 973638aa-fb42-47d6-9ec2-c98f6dfff0cb · outbound

This paper cites Gravner, A.E.

When does a tree activate the random graph? Gravner, A.E

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.105178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.427993Z digest=sha256:4af98426e0aa79545b55519f5ed5cee24c72ee905f680269a00d529ceecad1a5

Observation 933412b4-c333-449f-9bcf-4d0b9320321f · outbound

This paper cites Gravner, B.

When does a tree activate the random graph? Gravner, B

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.094398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.430964Z digest=sha256:b6f8a0f20997d25a5649ed88068dcdee7a75f871d138666824e211fc3a1caaba

Observation f7f80b03-9a7c-4c29-bb0a-d34f6c8fd811 · outbound

This paper cites Gravner, E.

When does a tree activate the random graph? Gravner, E

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.083605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.433938Z digest=sha256:e1b05d3ffee282defac0f883e67fc3b001eed6c39e07bb0eb3cb352df38282a6

Observation ec02a631-1051-4a9a-bdc6-5bb693834bbb · outbound

This paper cites Gromov, Hyperbolic groups, in Essays in group theory, ed.

When does a tree activate the random graph? Gromov, Hyperbolic groups, in Essays in group theory, ed

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.073026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.437281Z digest=sha256:f0ff9f6d3bbb448cf8309f7cbd826ec8de69b02c9b2e40a0f38f977f8689154f

Observation 272624b4-b353-48cf-bd1f-145415b95bec · outbound

This paper cites Simonovits's theorem in random graphs.

When does a tree activate the random graph? Simonovits's theorem in random graphs

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.632474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.440508Z digest=sha256:6437d4516158f653bd4102f422e572230c15eab706c78d62d3adb9eeb1176da0

Observation ed3fd181-f5b2-43cd-a6eb-28a9299d9b16 · outbound

This paper cites Stability of large cuts in random graphs.

When does a tree activate the random graph? Stability of large cuts in random graphs

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.617191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.443833Z digest=sha256:412adde327f73bee1bc981495e5b335f9767ed264ae965b656839a0848c81c20

Observation 8558b6eb-4674-45ba-af24-90ec2c44970d · outbound

This paper cites Janson, T.

When does a tree activate the random graph? Janson, T

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.062408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.447543Z digest=sha256:8b1c2c9910d38771f54148199557130e4dd1caaabe3a2a1161b4bbe030a64907

Observation 70cd6e39-11ee-4503-bb02-2e7df0dffd45 · outbound

This paper cites Kahle, Topology of random clique complexes , Discrete Math., 309:6 (2009) 1658–1671.

When does a tree activate the random graph? Kahle, Topology of random clique complexes , Discrete Math., 309:6 (2009) 1658–1671

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.051972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.450696Z digest=sha256:779f94f1bb51eee673ae3f520bb5e8795a23b4a3eb408afa62aa95980fc98cfc

Observation 58a106c0-1e41-494c-a443-ffd78bcf7bcc · outbound

This paper cites Kalai, Hyperconnectivity of graphs, Graphs Combin., 1 (1985) 65–79.

When does a tree activate the random graph? Kalai, Hyperconnectivity of graphs, Graphs Combin., 1 (1985) 65–79

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.041398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.453865Z digest=sha256:4a9e49657bbfd9592455acf4f7119e3c58c425a5c1c7c400af3904fdc2b1f31c

Observation cab788ce-b904-4095-82e4-e7e0477ac7f5 · outbound

This paper cites Kalai, Weakly saturated graphs are rigid, in: Convexity and graph theory (Jerusalem, 1981), North-Holland Math.

When does a tree activate the random graph? Kalai, Weakly saturated graphs are rigid, in: Convexity and graph theory (Jerusalem, 1981), North-Holland Math

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.030904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.457039Z digest=sha256:501ee591340b4e9bc6c36943532810b749a6bcd606daedd3515a25658b8a4294

Observation 1800d65e-c99a-4bc4-b250-c2410dc2b3d0 · outbound

This paper cites Weak saturation numbers in random graphs.

When does a tree activate the random graph? Weak saturation numbers in random graphs

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.601159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.460319Z digest=sha256:0521ab486e7f99020346672990f5b152037c378c2514ed5b9a46d36b2ffbc12b

Observation 6ed682d5-147e-4b5b-b664-3430ada4e4a8 · outbound

This paper cites Kalinichenko, M.

When does a tree activate the random graph? Kalinichenko, M

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.020473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.464334Z digest=sha256:4dd4255b0d5e6504207ceef87bb6239977fb590ba922e0ec5d03d868745448d7

Observation 592f01a3-4e4e-4e17-97eb-e8300f388bbe · outbound

This paper cites Koml´ os, E.

When does a tree activate the random graph? Koml´ os, E

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:02.009945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.467556Z digest=sha256:75e990a0d8252cdb878e80733a560d98aee63a07d69aa0399c293457b8df5ca1

Observation 2c1c89f3-43aa-4739-8228-1f0434f694b7 · outbound

This paper cites Kor´ andi, Y.

When does a tree activate the random graph? Kor´ andi, Y

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.999409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.470380Z digest=sha256:776ae23e36538fd3e8c3a6e93f361d6b128d3bec2f78bda6cd56537cd5b21630

Observation 4dd2d87f-bfa5-4d32-b6e7-68537e9dc1f9 · outbound

This paper cites Kor´ andi, B.

When does a tree activate the random graph? Kor´ andi, B

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.988696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.473472Z digest=sha256:65c8fff13011d08b5fb779c7d15f422902a171a5cbb6911ea7ecbd7277a3e81e

Observation 8a24bcff-67a3-45bb-b03f-b96df245f302 · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:01.978245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.476488Z digest=sha256:daa11108f7cf716d6d7d3beeecfbcff8827f5fc8175d400298da3718231bd5e9

Observation d6f1318c-0aa2-47b8-ba3c-d69a2c691159 · outbound

This paper cites Krivelevich, G.

When does a tree activate the random graph? Krivelevich, G

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.967919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.479621Z digest=sha256:6933fb89cdc940900dfccc9ccd9734f0e5838558e3080a2e72f895302f2512ab

Observation d7dc59a5-3143-4a15-8092-12876043ca5b · outbound

This paper cites Kronenberg, T.

When does a tree activate the random graph? Kronenberg, T

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.957581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.482923Z digest=sha256:3bfce1ca40e3cb821e70984b15ee9df85d3544b3bd5b2eb6f7f9a4461dc678b6

Observation 0ba8adc2-9e13-456e-a0df-22cf0ccd5509 · outbound

This paper cites Morris, Bootstrap percolation, and other automata, European Journal of Combinatorics, 66 (2017) 250–263.

When does a tree activate the random graph? Morris, Bootstrap percolation, and other automata, European Journal of Combinatorics, 66 (2017) 250–263

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.947064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.485959Z digest=sha256:33df9e1a1aa0322b8864427ac3239f342e8a9b610ae913834d6a4c0cc7e20d42

Observation 53b74345-7607-4ffa-8995-11e45df3183f · outbound

This paper cites Morris, Zero-temperature Glauber dynamics on Zd, Probab.

When does a tree activate the random graph? Morris, Zero-temperature Glauber dynamics on Zd, Probab

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.936715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.488940Z digest=sha256:31a79fa699e993eb5e1e243cc111d31daa1ea860de87497f4e6f84a68a1e0157

Observation bd810cae-70ea-44f6-91bf-78a9da045d28 · outbound

This paper cites Morrison, J.

When does a tree activate the random graph? Morrison, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.925494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.491910Z digest=sha256:748dd087c8c6e76df11533d91804fb114864c42bc59e12c75d71c67105d4993e

Observation 09db5ef4-66f9-4d94-b725-49b9945ca65c · outbound

This paper cites Morrison, J.

When does a tree activate the random graph? Morrison, J

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.914815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.495099Z digest=sha256:8c45fac2bd8e8cc2dc218fedc17134793f06c8b67fb04b14ade9644d7bb30306

Observation bc1c9ba1-3bd4-4ca6-bd49-ccaa8c7a9610 · outbound

This paper cites Moshkovitz, A.

When does a tree activate the random graph? Moshkovitz, A

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.903904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.498445Z digest=sha256:2d77cd9c88d68316c6d99db353bf4164fbcffabf2a0d98b88a94711d04e86e7e

Observation f03b07cc-2dca-48b9-92d6-076e37554210 · outbound

This paper cites O’Connell, Some large deviation results for sparse random graphs , Probab.

When does a tree activate the random graph? O’Connell, Some large deviation results for sparse random graphs , Probab

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.892845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.501504Z digest=sha256:e5f1ebafd50f5693219f394f5a95d37b09febd6373b00351faf0cc09adc82ba9

Observation 6d72bc03-395a-4c2f-8955-977f8cabdd63 · outbound

This paper cites Pikhurko, Extremal hypergraphs, PhD thesis, University of Cambridge, 1999.

When does a tree activate the random graph? Pikhurko, Extremal hypergraphs, PhD thesis, University of Cambridge, 1999

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.881201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.505085Z digest=sha256:c0953239fd274ede934b8ded5ad87c9e5231c62362c9faea1c060ee7d4c8df3e

Observation 4a082663-88c4-493c-92cc-48278ccad138 · outbound

This paper cites Pikhurko, Weakly saturated hypergraphs and exterior algebra , Combin.

When does a tree activate the random graph? Pikhurko, Weakly saturated hypergraphs and exterior algebra , Combin

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.870489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.508225Z digest=sha256:a0af3a08e4511d72c32a7e6880e42822fcce2f68c823625389aa79683208f948

Observation 202b2f9c-5661-43dd-a8b7-2d0acb3731cc · outbound

This paper cites Schacht, Extremal results for random discrete structures , Annals of Mathematics, 184:2 (2016) 333–365.

When does a tree activate the random graph? Schacht, Extremal results for random discrete structures , Annals of Mathematics, 184:2 (2016) 333–365

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.859255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.511269Z digest=sha256:f8ac42dd3c93c103ddead5dd23254f7a3048d4a8a7916f1efc2247fa5d62bfe3

Observation 8c8d6181-c915-408c-94ad-1b818665ef71 · outbound

This paper cites Shapira, M.

When does a tree activate the random graph? Shapira, M

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.848519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.514255Z digest=sha256:efff66fef3f03ef0250bdffdd670979820d1d17b351387d68d1f6d1e4a10a33f

Observation 0f84e7f1-7c6a-48fa-9e25-e681356116d9 · outbound

This paper cites Spencer, Counting extensions, Journal of Combinatorial Theory, Series A, 55:2 (1990) 247– 255.

When does a tree activate the random graph? Spencer, Counting extensions, Journal of Combinatorial Theory, Series A, 55:2 (1990) 247– 255

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.836797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.517487Z digest=sha256:276a44264420eb95ad8abff6425ad622b34b7cdd130c59043c02de59644575ec

Observation d208afee-2e1b-401d-8d5a-6bf3bd9b7c43 · outbound

This paper cites A short proof of Tuza's conjecture for weak saturation in hypergraphs.

When does a tree activate the random graph? A short proof of Tuza's conjecture for weak saturation in hypergraphs

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T19:41:01.520618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:41:01.520618Z digest=sha256:f23e7525a8f6de3bf20bf4c8336ce6469ce1cabbce2bac8a05e3fc954ae4db21

Observation ba7bec13-6ff2-4b9f-a70d-6f8e38e478a7 · outbound

This paper cites Terekhov, M.

When does a tree activate the random graph? Terekhov, M

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.824350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.523794Z digest=sha256:4528ab455a575a352ad33dde7107792d9fc778d9a65be7d81dc8106d46276621

Observation 7689d68e-0a16-42b2-821b-9ff286ad17e6 · outbound

This paper cites Weak saturation rank: a failure of linear algebraic approach to weak saturation.

When does a tree activate the random graph? Weak saturation rank: a failure of linear algebraic approach to weak saturation

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:41:01.572364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.526978Z digest=sha256:a4baba49eb13f0d1003519c23cf1bb1f28d829fbd3227241097beb0ad33010c6

Observation 2d54cca2-0da8-4d60-baa1-0ad861120c2a · outbound

This paper cites an unresolved cited work.

When does a tree activate the random graph? Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:41:01.813035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.530213Z digest=sha256:119d88be8ee6312e2c34f860f626f0dc0a2478c0442d55a19bb1bc4fbeff2c63

Observation 477b3d3a-e46e-4a43-93f5-c104b5317554 · outbound

This paper cites von Neumann, Theory of Self-Reproducing Automata , Univ.

When does a tree activate the random graph? von Neumann, Theory of Self-Reproducing Automata , Univ

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.801843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.533364Z digest=sha256:95a2514697e70cf0c1d4d4022b976d8f4f03d11d16a2ebcd23daac7264a9615c

Observation 389eaf59-8111-44e5-a982-d190dac2f17c · outbound

This paper cites Tuza, Asymptotic growth of sparse saturated structures is locally determined, Discrete Math- ematics, 108:1-3 (1992) 397–402.

When does a tree activate the random graph? Tuza, Asymptotic growth of sparse saturated structures is locally determined, Discrete Math- ematics, 108:1-3 (1992) 397–402

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.790858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.536466Z digest=sha256:6c10d53c452005d9e6a8cd279f1e09d620668c019897b81ab6e9d3ede1803333

Observation ad1a21f4-da51-4978-9986-5d15932e9ebf · outbound

This paper cites Ulam, Random processes and transformations, Proc.

When does a tree activate the random graph? Ulam, Random processes and transformations, Proc

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:41:01.779712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T19:41:01.539676Z digest=sha256:e290052b1d4de3fa6790f0efae323cea0859f9ede693f9b2db5ee8c164fe5868

Pith citing papers

Observation 4ed526f0-d3c2-4496-ba56-b60cca3e0f66 · inbound

Weak saturation numbers of large complete bipartite graphs cites this paper.

Weak saturation numbers of large complete bipartite graphs When does a tree activate the random graph?

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:02:29.675761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T16:02:29.579908Z digest=sha256:c2bb83b96c34c78a1b81491b95d65b87dff2356280461e7aa158e9947e6c601d