Paper Citation Record · LEDGER

Why planar cracks fragment into echelon cracks

As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2512.16053.

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

pith.paper-citation-record.v1
2512.16053 v3

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:44:41.369923Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T07:24:09.833384Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T08:05:32.079725Z

Reference resolution

45 of 45 outbound references displayed

verified exact0
verified fuzzy0
unresolved45
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b56ecb5-a9ca-4d42-aa8b-5645793ccf2d · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.215978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1082305-fa13-446f-846a-2e4324300c56 · outbound

This paper cites Sommer, Formation of fracture ‘lances’ in glass, Engi neering Fracture Mechanics 1 (1969) 539–546.

Why planar cracks fragment into echelon cracks Sommer, Formation of fracture ‘lances’ in glass, Engi neering Fracture Mechanics 1 (1969) 539–546

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.276590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24db9701-2cc4-47ce-94ff-6d319b91f9f6 · outbound

This paper cites Knauss, An observation of crack propagation in anti-p lane shear, International Journal of Fracture Mechanics 6 ( 1970) 183–187.

Why planar cracks fragment into echelon cracks Knauss, An observation of crack propagation in anti-p lane shear, International Journal of Fracture Mechanics 6 ( 1970) 183–187

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.340348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4691bba6-8c8c-41c4-9001-26a1588fa70c · outbound

This paper cites Ronsin, C.

Why planar cracks fragment into echelon cracks Ronsin, C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.396683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3b50afa-d599-458a-9339-1a89de1977aa · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.456505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d585a748-741a-43ca-86f0-275bff80b899 · outbound

This paper cites W ang, M.

Why planar cracks fragment into echelon cracks W ang, M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.505419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ade0f2fe-5f62-4580-ab86-4ba9def89098 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.560663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 262787aa-9e71-49f7-83d7-2b6d75ee1e76 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.610629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36d2c7cf-96c4-4de1-ad41-5a533521863d · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.613652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07351ac8-ebd5-4ef5-aff0-8ca7c4524cfa · outbound

This paper cites Barenblatt, G.

Why planar cracks fragment into echelon cracks Barenblatt, G

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.627316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1a4ebb4-2a1e-449f-a8d2-ea384068def6 · outbound

This paper cites Erdogan, G.

Why planar cracks fragment into echelon cracks Erdogan, G

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.665669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 886a9acd-c8c7-4765-b387-bf729f057a15 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.729857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ba3a2f6-5943-458e-a6bd-67158aa54e7d · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.787930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ed2a306-78aa-4cf0-a2a5-858877678b3d · outbound

This paper cites Nuismer, An energy release rate criterion for mixed m ode fracture, International Journal of Fracture 11 (1975) 2 45–250.

Why planar cracks fragment into echelon cracks Nuismer, An energy release rate criterion for mixed m ode fracture, International Journal of Fracture 11 (1975) 2 45–250

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.869376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 392d7eda-cbe5-4a55-b874-d868013fc88d · outbound

This paper cites W u, Fracture under combined loads by maximum-ene rgy-release-rate criterion, Journal of Applied Mechanics 45 (1978) 553.

Why planar cracks fragment into echelon cracks W u, Fracture under combined loads by maximum-ene rgy-release-rate criterion, Journal of Applied Mechanics 45 (1978) 553

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.916216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc49da9b-45c0-402e-93bf-54671b7eaf05 · outbound

This paper cites Lazarus, F.-G.

Why planar cracks fragment into echelon cracks Lazarus, F.-G

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:38.963010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 983a155a-cabd-46b8-b90c-72ed6090be1b · outbound

This paper cites Chambolle, G.

Why planar cracks fragment into echelon cracks Chambolle, G

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.020713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3fc2cd4-f6e7-4db9-8897-a19cf569a214 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.089635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f39eb6ce-c563-433d-9184-5e83f6fc0ba4 · outbound

This paper cites Mittelman, Z.

Why planar cracks fragment into echelon cracks Mittelman, Z

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.161884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e888fe03-8377-4755-a372-a00b39ec3eb4 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.257534Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd1631c4-f0de-46de-a495-8d3f30195eae · outbound

This paper cites Leblond, A.

Why planar cracks fragment into echelon cracks Leblond, A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.316359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e590faf2-851d-43be-bf13-6c2675c6f14b · outbound

This paper cites Kolvin, G.

Why planar cracks fragment into echelon cracks Kolvin, G

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.364260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80c05b12-01d5-4646-afa3-4442c32b3114 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.452476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd1bedb5-940b-470f-b878-d84ab3bc9bb6 · outbound

This paper cites Chambolle, G.

Why planar cracks fragment into echelon cracks Chambolle, G

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.556934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d2ef1e0-9ae5-4f5f-866b-33d4c7dfb4c1 · outbound

This paper cites Francfort, Variational fracture: twenty years afte r, International Journal of Fracture 237 (2022) 3–13.

Why planar cracks fragment into echelon cracks Francfort, Variational fracture: twenty years afte r, International Journal of Fracture 237 (2022) 3–13

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.629912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16b210fd-b052-4d13-aed7-8651d0f58011 · outbound

This paper cites Bourdin, G.

Why planar cracks fragment into echelon cracks Bourdin, G

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.683625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57395ade-d911-48dc-b4ad-24c9db50bc16 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.754923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30ecda4b-2269-4604-8dbf-52c42c923163 · outbound

This paper cites Kumar, B.

Why planar cracks fragment into echelon cracks Kumar, B

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.852336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90f4606b-f9b4-4f7f-81c9-792a5a90a2c1 · outbound

This paper cites Poulain, V.

Why planar cracks fragment into echelon cracks Poulain, V

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:39.924898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9f37706-7f3d-433d-b5ed-2e3b802cd8ba · outbound

This paper cites Kamarei, A.

Why planar cracks fragment into echelon cracks Kamarei, A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.049518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73d62d2e-b795-4412-b554-5f7c883b1928 · outbound

This paper cites Moln´ ar, A.

Why planar cracks fragment into echelon cracks Moln´ ar, A

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.138945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c4401bb-eb93-47cf-96f6-a53be8d282b3 · outbound

This paper cites Khayaz, A.

Why planar cracks fragment into echelon cracks Khayaz, A

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.272759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65ea01a1-75e6-42df-953c-1532bf3edbe6 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.396823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14219c14-729a-4e94-ad4f-ed2905ecd0d7 · outbound

This paper cites Vicentini, C.

Why planar cracks fragment into echelon cracks Vicentini, C

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.468402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6746c90c-0f2b-4251-a97f-831a9f4a6a61 · outbound

This paper cites Kumar, G.

Why planar cracks fragment into echelon cracks Kumar, G

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.542214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bf4e457-ac50-4f53-8241-a3c83d810c75 · outbound

This paper cites Kumar, O.

Why planar cracks fragment into echelon cracks Kumar, O

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.601615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 017ddd9e-aa75-4e61-8ee4-3e1e13ee45b1 · outbound

This paper cites Kumar, K.

Why planar cracks fragment into echelon cracks Kumar, K

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.706471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 232c65a6-2eff-496d-be66-2c6ea8cfdb72 · outbound

This paper cites Kumar, Y.

Why planar cracks fragment into echelon cracks Kumar, Y

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.806182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f286ece-2062-42c3-b57d-bc9990dc0ba4 · outbound

This paper cites Kamarei, B.

Why planar cracks fragment into echelon cracks Kamarei, B

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.918161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2aecb5a-8cfc-44b8-9edf-e587a2f1c153 · outbound

This paper cites Lopez-Pamies, F.

Why planar cracks fragment into echelon cracks Lopez-Pamies, F

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:40.955517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb88dd3e-4650-48d0-960a-219027394ee4 · outbound

This paper cites an unresolved cited work.

Why planar cracks fragment into echelon cracks Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:41.041879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c36b2b87-b2c5-475b-88ff-b9a7a2791d07 · outbound

This paper cites Chockalingam, A.

Why planar cracks fragment into echelon cracks Chockalingam, A

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:41.122944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2293bb0b-d9d8-4ebf-b8a3-7acbbe1dddb8 · outbound

This paper cites W ard, A.

Why planar cracks fragment into echelon cracks W ard, A

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:41.231824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 914b42f0-6b02-48ca-82de-6da4b4ec22ca · outbound

This paper cites Configurational forces explain echelon cracks in soft materials.

Why planar cracks fragment into echelon cracks Configurational forces explain echelon cracks in soft materials

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:41.295571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3456b2a-e9bc-4bde-bc93-25ffa2ea4d10 · outbound

This paper cites Slootman, V.

Why planar cracks fragment into echelon cracks Slootman, V

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T15:44:41.369923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a18522c6-e6cb-458f-a511-7c9d22e92d8d · inbound

Rational Mechanics of Material Strength in Brittle Solids cites this paper.

Rational Mechanics of Material Strength in Brittle Solids Why planar cracks fragment into echelon cracks

Reference 124

Resolution: verified exact; arxiv_id, observed 2026-07-14T02:20:20.992715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 617c2a58-0ee5-4808-827a-a0ecdf1b02ea · inbound

Rational Mechanics of Material Strength in Brittle Solids cites this paper.

Rational Mechanics of Material Strength in Brittle Solids Why planar cracks fragment into echelon cracks

Reference 124

Resolution: verified exact; arxiv_id, observed 2026-07-14T02:20:20.992715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.