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Paper Citation Record · LEDGER

Weak saturation numbers of large complete bipartite graphs

As of 19 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2508.19435.

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

pith.paper-citation-record.v1
2508.19435 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:02:29.633247Z

measured 22 of 22 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T07:00:49.981472Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41a2d4a4-bcd2-4d3e-94b4-97840f48bfa4 · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.949884Z

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=2026-08-05T16:02:29.552369Z digest=sha256:094b79738e364fdeb42b71444de0ee4af22e4a3439212bba372fa88a50ff6eca

Observation e2c7cff2-9826-4980-8a88-29818acc72d6 · outbound

This paper cites Bernshteyn and A.

Weak saturation numbers of large complete bipartite graphs Bernshteyn and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.935016Z

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=2026-08-05T16:02:29.557563Z digest=sha256:fd6ca4eda3b99d7bd71bdfb8397d7702081b13476e47a8897d47c0990dcbcf3a

Observation f6d5efca-ba72-4f3a-bcde-1a7af4b1566a · outbound

This paper cites Bidgoli, A.

Weak saturation numbers of large complete bipartite graphs Bidgoli, A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.921284Z

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=2026-08-05T16:02:29.561917Z digest=sha256:5ee2179157f613be3882ddba8f6d4281a172aec8cecb79e77c5dce787c0f3a3b

Observation 557a0c89-d39d-4f46-a1c0-fccd3d73f066 · outbound

This paper cites Bollob´ as.

Weak saturation numbers of large complete bipartite graphs Bollob´ as

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.907308Z

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=2026-08-05T16:02:29.566430Z digest=sha256:a361950a8b1c242758389dfa6dd8fe2a5cf10d2ab1913f7a70af34c507a32882

Observation 8feb7aee-0167-4fa9-9aed-a50ca19dd395 · outbound

This paper cites Bollob´ as.

Weak saturation numbers of large complete bipartite graphs Bollob´ as

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.892697Z

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=2026-08-05T16:02:29.571020Z digest=sha256:5133687da41e03ac62f5722d40432ccffd8b559ff8614f0f183e40111b8b5fed

Observation 62866584-2bf5-4404-8385-11a398fca590 · outbound

This paper cites Borowiecki and E.

Weak saturation numbers of large complete bipartite graphs Borowiecki and E

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.879370Z

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=2026-08-05T16:02:29.575324Z digest=sha256:86cadcf27688d872c5f882bc98517b8e3a602d1ee1d3c7270e0b07a9f8ea3a9e

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

This paper cites When does a tree activate the random graph?.

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

Observation 78daf3ac-070a-4529-a84b-292c9085fc76 · outbound

This paper cites Erd˝ os, A.

Weak saturation numbers of large complete bipartite graphs Erd˝ os, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.865599Z

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=2026-08-05T16:02:29.584187Z digest=sha256:3aa6d2c10e10b37b8dc9a75ac39a725db8af76ec6013f96dc1d3ef9fe97dd910

Observation c302cb34-ab18-4bff-bf66-505ada2fb356 · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.851056Z

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=2026-08-05T16:02:29.588393Z digest=sha256:8403884d8d389b1ef85bc8418174d8b4ca3750358e60ef07833af501eeb9de8b

Observation 508f457e-82db-4eaa-ba4b-96562633050f · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.836522Z

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=2026-08-05T16:02:29.592651Z digest=sha256:28fe3d6b1e15a864c5392d30733f869041bf14b5bd70823fc59fc3ce7a4af621

Observation 1a0287ba-d38b-446b-a72c-92687e8b56d8 · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.821157Z

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=2026-08-05T16:02:29.597128Z digest=sha256:66b8482a223eb55644f9b1946fcf1102bb507f3c30dc47063180e5e495fb5e79

Observation a9ed7dbb-7a6e-490f-8c1e-91c286f08b14 · outbound

This paper cites Kalinichenko and M.

Weak saturation numbers of large complete bipartite graphs Kalinichenko and M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.807262Z

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=2026-08-05T16:02:29.601117Z digest=sha256:ad6d53769deeec90515be96c156a7ea951f7e07e2ea7a50330d5beceea633651

Observation e8790cf7-0bf2-48d0-9d24-f3ecde3b1fb0 · outbound

This paper cites Kor´ andi and B.

Weak saturation numbers of large complete bipartite graphs Kor´ andi and B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.793083Z

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=2026-08-05T16:02:29.605153Z digest=sha256:46243dd950b3540529023d0869e5fcd471a0052530428cf41aa28fc599d66f3c

Observation e860f856-0f2c-47f1-8a02-d8185ca03c5c · outbound

This paper cites Kronenberg, T.

Weak saturation numbers of large complete bipartite graphs Kronenberg, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.779313Z

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=2026-08-05T16:02:29.609134Z digest=sha256:4607f8956711c75e4fd63b6a4e254bf5f3ae5da6a1fddac083584985c934cdc0

Observation a314b557-9350-429a-8f66-99982d6c9d6e · outbound

This paper cites Lov´ asz.

Weak saturation numbers of large complete bipartite graphs Lov´ asz

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.765309Z

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=2026-08-05T16:02:29.612930Z digest=sha256:a4246d2568eb2076ca3b9d9fd0c1d666047f7d224d46ef0018d73ddb63abcd99

Observation 043fe236-bd34-4c99-971c-ca1bc102d30b · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.749344Z

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=2026-08-05T16:02:29.616862Z digest=sha256:0c4b00bcb5fa22d0dd8794b6eb2a3acaee9563203783257a33ff6dbe96b04583

Observation 517b935d-a6a4-42ca-afa2-ecfa2e8d5a77 · outbound

This paper cites Miralaei, A.

Weak saturation numbers of large complete bipartite graphs Miralaei, A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.734901Z

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=2026-08-05T16:02:29.620859Z digest=sha256:b22990db077a51ad1b0e71a7199c3bed93a5a67501625f39f26e577454a9fa13

Observation 213d5566-63ba-486e-a466-f1f3dfd20d57 · outbound

This paper cites Terekhov and M.

Weak saturation numbers of large complete bipartite graphs Terekhov and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.720232Z

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=2026-08-05T16:02:29.625052Z digest=sha256:36c3b5756583b41ccc3834dc276e30c39b984e433e8459cf8c5003ae34bd5281

Observation a744c6d8-3ff3-4eb4-a2dc-30325f90cdf6 · outbound

This paper cites Terekhov and M.

Weak saturation numbers of large complete bipartite graphs Terekhov and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:02:29.704999Z

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=2026-08-05T16:02:29.629152Z digest=sha256:ba623a3e18ce571b881ac50be2dfe7d4bd575cdcad5d65454ccedb662e84cf78

Observation 78da506c-6051-4254-8a28-9ce03427670c · outbound

This paper cites an unresolved cited work.

Weak saturation numbers of large complete bipartite graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:02:29.690424Z

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=2026-08-05T16:02:29.633247Z digest=sha256:07d16a7fde14069f0e0640ceea02e32d1832d0e7c174940c43771c366d16028f

Pith citing papers

Observation 2cc158a2-a2a8-4d52-badc-1bd520431d5f · inbound

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs cites this paper.

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs Weak saturation numbers of large complete bipartite graphs

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-11T21:06:41.543963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T21:06:41.543963Z digest=sha256:e9481f1cb3a0a1a9ea5531097035ec661a473422c8eaa96734c897b104d3be9d

Observation b0c3281c-81ee-46d6-9d5c-869f8374d7d8 · inbound

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs cites this paper.

The Complexity of Weak Saturation for Complete Graphs and Balanced Complete Bipartite Graphs Weak saturation numbers of large complete bipartite graphs

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-13T07:00:49.981472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T07:00:49.981472Z digest=sha256:3d493c963482c375a628e26ad3b841c1b1260c646784742dc51e7b86dccd0c98