Paper Citation Record · LEDGER

Slow graph bootstrap percolation III: Chain constructions

As of 13 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2508.03835.

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

pith.paper-citation-record.v1
2508.03835 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T04:27:26.115450Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T11:09:40.735819Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T19:41:10.689990Z

Reference resolution

41 of 41 outbound references displayed

verified exact0
verified fuzzy25
unresolved8
parse uncertain0
malformed identifier8
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dacd413c-11ef-4c37-b6b6-38545afd9a48 · outbound

This paper cites Balogh, B.

Slow graph bootstrap percolation III: Chain constructions Balogh, B

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:31.595602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e08db4d1-6415-469e-97ec-820d53df38c7 · outbound

This paper cites Balogh, B.

Slow graph bootstrap percolation III: Chain constructions Balogh, B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:31.502079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0ed79e23-0b60-42a8-b86a-5c21735967cb · outbound

This paper cites The maximum length of $K_r$-Bootstrap Percolation.

Slow graph bootstrap percolation III: Chain constructions The maximum length of $K_r$-Bootstrap Percolation

Reference 3

Resolution: malformed identifier; no resolver link, observed 2026-08-06T04:27:23.232384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb8b08e9-fd22-4e77-a37c-7769ce1e52dd · outbound

This paper cites Bartha and B.

Slow graph bootstrap percolation III: Chain constructions Bartha and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:31.380101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2cc18298-5093-4365-a68e-5fad839e5d36 · outbound

This paper cites an unresolved cited work.

Slow graph bootstrap percolation III: Chain constructions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:27:31.274725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9408daf7-73c3-4867-92c2-79a131714ac0 · outbound

This paper cites An improvement to the Kelley-Meka bounds on three-term arithmetic progressions.

Slow graph bootstrap percolation III: Chain constructions An improvement to the Kelley-Meka bounds on three-term arithmetic progressions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T04:27:23.596259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2375066-cbd7-4c2d-b753-0f47d971a443 · outbound

This paper cites Bollob´ as, M.

Slow graph bootstrap percolation III: Chain constructions Bollob´ as, M

Reference 7

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T04:27:31.165850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 26803924-867b-4adb-a6f0-840362264d45 · outbound

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

Slow graph bootstrap percolation III: Chain constructions Bollob´ as,Weakly k-saturated graphs, Beitr¨ age zur Graphentheorie (Kolloquium, Manebach, 1967), 1968, pp

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:30.789412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 54e00cbb-2592-46a0-987d-b80928944294 · outbound

This paper cites Bollob´ as,Random Graphs, 2nd ed., Cambridge University Press, 2001.

Slow graph bootstrap percolation III: Chain constructions Bollob´ as,Random Graphs, 2nd ed., Cambridge University Press, 2001

Reference 9

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T04:27:30.437682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a74a6b85-6944-477f-a8a7-f0c9ae8bf1de · outbound

This paper cites Erd˝ os, and V.

Slow graph bootstrap percolation III: Chain constructions Erd˝ os, and V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:30.264289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b9782939-1b3d-4081-8a3a-43b1e00082a8 · outbound

This paper cites Cilleruelo and C.

Slow graph bootstrap percolation III: Chain constructions Cilleruelo and C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:30.134182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 87fe5714-152a-4329-96dc-f4aba937c0fe · outbound

This paper cites an unresolved cited work.

Slow graph bootstrap percolation III: Chain constructions Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:27:30.007790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6d8938e1-54e8-4067-aa5d-c4c22ff494c1 · outbound

This paper cites Erd˝ os and A.

Slow graph bootstrap percolation III: Chain constructions Erd˝ os and A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:29.852504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4ecc812c-361b-4dc0-abff-9714fa43c0ea · outbound

This paper cites Erd˝ os and P.

Slow graph bootstrap percolation III: Chain constructions Erd˝ os and P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:29.721329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ce510a57-3393-4248-8931-63cdaf577afc · outbound

This paper cites Espuny D´ ıaz, B.

Slow graph bootstrap percolation III: Chain constructions Espuny D´ ıaz, B

Reference 15

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T04:27:29.543336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 73d06abf-4533-403e-b75d-beca32571430 · outbound

This paper cites Slow graph bootstrap percolation I: Cycles.

Slow graph bootstrap percolation III: Chain constructions Slow graph bootstrap percolation I: Cycles

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T04:27:24.390280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4313e35-ab06-4df7-ba51-30accb8e4728 · outbound

This paper cites ↑1.2, 1.3, 1.3, 1.6, 1.6, 10.1.

Slow graph bootstrap percolation III: Chain constructions ↑1.2, 1.3, 1.3, 1.6, 1.6, 10.1

Reference 17

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T04:27:29.355838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d8ef29a-824f-4f1c-bf10-a2f83ee0ea69 · outbound

This paper cites an unresolved cited work.

Slow graph bootstrap percolation III: Chain constructions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:27:29.196535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cec41a86-ad66-4443-906d-0336af02c8f5 · outbound

This paper cites F¨ uredi and M.

Slow graph bootstrap percolation III: Chain constructions F¨ uredi and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:29.076139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 79727e24-afc9-4a2c-b264-b73a4a39ea01 · outbound

This paper cites Hartarsky and L.

Slow graph bootstrap percolation III: Chain constructions Hartarsky and L

Reference 20

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T04:27:28.979175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c824a47b-b54c-4b63-9763-21cebc18edbb · outbound

This paper cites Hou, H.-J.

Slow graph bootstrap percolation III: Chain constructions Hou, H.-J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.884685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation adbf3ab0-eea7-480f-a40a-c851d5935675 · outbound

This paper cites Janson, T.

Slow graph bootstrap percolation III: Chain constructions Janson, T

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.786967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ecc5c386-efaf-4dbb-b5c0-dbf313ebb2d1 · outbound

This paper cites Kelley and R.

Slow graph bootstrap percolation III: Chain constructions Kelley and R

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.692571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cd2201b3-29db-4d93-861e-6c54d7b43b12 · outbound

This paper cites T S´ os, and P.

Slow graph bootstrap percolation III: Chain constructions T S´ os, and P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.587777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e2ef0a02-4136-4161-ad95-b0beadcc7e4b · outbound

This paper cites an unresolved cited work.

Slow graph bootstrap percolation III: Chain constructions Unresolved cited work

Reference 25

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T04:27:28.477223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 642654ce-acde-46b9-8671-2ad9e7ff50cb · outbound

This paper cites Koml´ os and M.

Slow graph bootstrap percolation III: Chain constructions Koml´ os and M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.384058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3c3477ba-7d14-46bf-8fde-c37a7f4021cc · outbound

This paper cites Lazebnik, V.

Slow graph bootstrap percolation III: Chain constructions Lazebnik, V

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.285218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 535e4842-0d6e-4273-90c2-91aa996d6290 · outbound

This paper cites 1-3, 271–283.

Slow graph bootstrap percolation III: Chain constructions 1-3, 271–283

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.208243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d4636e01-8c3f-453d-8af8-758610344ab9 · outbound

This paper cites Lazebnik and J.

Slow graph bootstrap percolation III: Chain constructions Lazebnik and J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.087645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 076ea83e-7a0b-4533-a79b-ab7097bb1377 · outbound

This paper cites Lazebnik and R.

Slow graph bootstrap percolation III: Chain constructions Lazebnik and R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:28.000164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 93ccfc36-1165-4fc1-9a09-4dd3620dcfe8 · outbound

This paper cites an unresolved cited work.

Slow graph bootstrap percolation III: Chain constructions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:27:27.946842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 65ed7203-8d65-49f0-a7df-1a67624e7643 · outbound

This paper cites The Saturation Time of Graph Bootstrap Percolation.

Slow graph bootstrap percolation III: Chain constructions The Saturation Time of Graph Bootstrap Percolation

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T04:27:25.295729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cad66eab-6491-4e36-b9f3-281bf57d00fb · outbound

This paper cites McDiarmid and N.

Slow graph bootstrap percolation III: Chain constructions McDiarmid and N

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:27.857045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 28194b68-6036-465b-917e-5c57423810c4 · outbound

This paper cites an unresolved cited work.

Slow graph bootstrap percolation III: Chain constructions Unresolved cited work

Reference 34

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T04:27:27.774599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3a356d34-0241-4a3a-940f-611cdfdb3026 · outbound

This paper cites Ruzsa, Solving a linear equation in a set of integers I , Acta Arithmetica 65 (1993), no.

Slow graph bootstrap percolation III: Chain constructions Ruzsa, Solving a linear equation in a set of integers I , Acta Arithmetica 65 (1993), no

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:27.621308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38eb6311-e4bd-49bb-a371-671faee058ef · outbound

This paper cites Z Ruzsa and E.

Slow graph bootstrap percolation III: Chain constructions Z Ruzsa and E

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:27.410152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ebb2e15e-609b-45e7-abc1-29e7da1430f0 · outbound

This paper cites Shapira, Behrend-type constructions for sets of linear equations , Acta Arithmetica 122 (2006), no.

Slow graph bootstrap percolation III: Chain constructions Shapira, Behrend-type constructions for sets of linear equations , Acta Arithmetica 122 (2006), no

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:27.276473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation efc33c29-6484-4306-80a1-20d0173fe4cf · outbound

This paper cites Singer, A theorem in ﬁnite projective geometry and some application s to number theory , Transactions of the American Mathematical Society 43 (1938), no.

Slow graph bootstrap percolation III: Chain constructions Singer, A theorem in ﬁnite projective geometry and some application s to number theory , Transactions of the American Mathematical Society 43 (1938), no

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:27.144955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9be42936-2cdf-4c33-b621-001340517803 · outbound

This paper cites an unresolved cited work.

Slow graph bootstrap percolation III: Chain constructions Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T04:27:26.895358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1b17bb56-ef03-44cc-b51a-31736136e5a5 · outbound

This paper cites Taking ( A.5) modulo (2 k1 + 1)q, we get that D = α1(b1 − b3) + α2(b2 − b4) is congruent to 0 modulo (2k1 + 1)q.

Slow graph bootstrap percolation III: Chain constructions Taking ( A.5) modulo (2 k1 + 1)q, we get that D = α1(b1 − b3) + α2(b2 − b4) is congruent to 0 modulo (2k1 + 1)q

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:26.621667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3ab93a1c-7051-4d38-807a-3cf114e3b982 · outbound

This paper cites If b1 = b3 or b2 = b4 then both equalities must hold and ( a1, a2, a3, a4) is a trivial solution.

Slow graph bootstrap percolation III: Chain constructions If b1 = b3 or b2 = b4 then both equalities must hold and ( a1, a2, a3, a4) is a trivial solution

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T04:27:26.389723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 0daa2655-673c-460c-8a27-23e42e44ffbc · inbound

Upper bounds on the running time of bootstrap percolation cites this paper.

Upper bounds on the running time of bootstrap percolation Slow graph bootstrap percolation III: Chain constructions

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:41:10.696911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.