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Paper Citation Record · LEDGER

Weak saturation numbers of large complete bipartite graphs

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.552369Z digest=sha256:282ef264d9c48e4946185d4d646d377cc0dd46351e2a09466529a7436ef480b4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.557563Z digest=sha256:ebb32ff7243461845b0364584677f5d398a9039a0e4f8d31863856f5e7da91ce

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.561917Z digest=sha256:38eb83c65a790fe48dd99d0ac1e5758ca181a92fe5b4bd535575b53f9cd9cba5

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.566430Z digest=sha256:8fae0c5c57ba35ef724692c7289696cfd3c9b6d51b6e9aefb8455ba28dcf010c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.571020Z digest=sha256:0c711da8785609731eb7f834234ee32bd0328017e7c43bf236527e59bb0c796b

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.575324Z digest=sha256:6ffd08a9e6d0476d438899b9b08121b1a3684130ad678946468ad471f6ddbbe9

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.579908Z digest=sha256:db4ad9f830836a0b82b10a6f4a3901f67c6b2af761847103a8b0356205b04bfe

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.584187Z digest=sha256:2e46ed4474d812c2857bc184c0e98cb9e8dca0698f5d6b227194964fe6421458

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.588393Z digest=sha256:d30768abd9ae4976f18cb905b85eed2c0e24b871bc33eaf83267e38c39b53957

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.592651Z digest=sha256:82fcc010c0de007ef5dfff9bbaee2eb24274dc4ef3f945f73d1f28f82cc7bbd2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.597128Z digest=sha256:7cbdfb2b283149e15e1d4a56acd7215e59e966a74d099f271a2ffe890fd623f3

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.601117Z digest=sha256:68e87e466e5c5d05ec0bec8f6e64bcd0ea274b8e3a90d8d824e3e12aee1f092c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.605153Z digest=sha256:1a8f77ba95dbdcb648d78d2b2aacc519f4c95065ca038275dd3e336dbb92ef29

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.609134Z digest=sha256:a6af862dc3356e8b7b93b9d68c24e29a65f841f03feb6baa5e597242d8095ea7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.612930Z digest=sha256:05db2026edda1d38bda9b97976e036f0adce354e62fb639be43aae36ca7f2cdb

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.616862Z digest=sha256:a720cb71df140668a01f4f9e60c2834b38be8e9a29690142dd4b0282ba225a48

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.620859Z digest=sha256:335791df1633a63dca402cfb9fcbcc4c05a19048f85861a7319df9e28c8d3885

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.625052Z digest=sha256:be565362193ae0351a6925d71375386e11b733f91715dde76325d2c9987c094a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.629152Z digest=sha256:817dd6048dfd25cd1e4e603010e04c3fbe529b875457a039308bd57479ab549d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-05T16:02:29.633247Z digest=sha256:a09d03f4916ce1a20ace15b7153a470e50329b389e20f5a3fd195635101462c2

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