Paper Citation Record · LEDGER

The energy of fractional Allen--Cahn layers in dimension one

As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2608.06226.

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

pith.paper-citation-record.v1
2608.06226 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:18:05.057966Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy20
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d85d076-8308-4ea8-b7dc-12fe46bb5df1 · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:10.654515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64387639-dd2f-4659-a136-9319feb0c3b0 · outbound

This paper cites Buckmaster, G.

The energy of fractional Allen--Cahn layers in dimension one Buckmaster, G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:10.506373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 53ce42a5-193a-49b3-84ea-37c425c438c1 · outbound

This paper cites Cabr´ e and Y.

The energy of fractional Allen--Cahn layers in dimension one Cabr´ e and Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:10.373655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0b7c86ae-1ed7-459c-9131-c90dc4614a58 · outbound

This paper cites Cabr´ e and Y.

The energy of fractional Allen--Cahn layers in dimension one Cabr´ e and Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:10.232498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eb2c68c7-914f-49b6-b8f4-c80030bfa24d · outbound

This paper cites Cabr´ e and J.

The energy of fractional Allen--Cahn layers in dimension one Cabr´ e and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:10.096904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f9e631fe-0597-4a47-a3bd-9a9992188431 · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:09.960581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c36b3eec-5407-4a92-b1b7-45e7a7699e45 · outbound

This paper cites Global Bifurcation and the Constructive Existence of Overhanging Periodic Steady Water Waves.

The energy of fractional Allen--Cahn layers in dimension one Global Bifurcation and the Constructive Existence of Overhanging Periodic Steady Water Waves

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:18:05.473906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 45315987-3ea8-430e-9f54-a32f68a1dc52 · outbound

This paper cites Cadiot, J.-P.

The energy of fractional Allen--Cahn layers in dimension one Cadiot, J.-P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:09.827169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa0941e9-06ed-4378-8197-33401187b05b · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:09.682682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6e791904-37e7-4f8a-8c6c-849b8179dc05 · outbound

This paper cites Cao-Labora, M.

The energy of fractional Allen--Cahn layers in dimension one Cao-Labora, M

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T12:18:02.548179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84dc205c-1069-4b9f-8753-25d6641a1d18 · outbound

This paper cites Carballeira, D.

The energy of fractional Allen--Cahn layers in dimension one Carballeira, D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:09.489472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e22d821d-8192-4fa4-a0ce-0a5aa66a95f4 · outbound

This paper cites Castro, D.

The energy of fractional Allen--Cahn layers in dimension one Castro, D

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:09.323362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3e78a905-b376-4e99-90be-da991584e72e · outbound

This paper cites Linear instability of a Burgers--Hilbert traveling wave.

The energy of fractional Allen--Cahn layers in dimension one Linear instability of a Burgers--Hilbert traveling wave

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T12:18:02.897396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ee7f2bc-e34f-4894-b8b2-ee653f27fef5 · outbound

This paper cites Cayama, C.

The energy of fractional Allen--Cahn layers in dimension one Cayama, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:09.119790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5e56762-2755-49f1-9427-853b17b9126a · outbound

This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis.

The energy of fractional Allen--Cahn layers in dimension one Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T12:18:03.065484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 340a83b8-1895-42f9-abb1-cffedae47ac5 · outbound

This paper cites Chen and T.

The energy of fractional Allen--Cahn layers in dimension one Chen and T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:08.934300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b84fa9fa-f28b-47e9-96ed-d83a3f99b82f · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:08.771424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4752f6bf-92c3-4d1c-a77e-c210bcd12049 · outbound

This paper cites Self-Similar Singular Solutions to the Nonlinear Schr\"odinger and the Complex Ginzburg-Landau Equations.

The energy of fractional Allen--Cahn layers in dimension one Self-Similar Singular Solutions to the Nonlinear Schr\"odinger and the Complex Ginzburg-Landau Equations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T12:18:03.349836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be028f2e-5a26-49da-8693-a6d1af9b692e · outbound

This paper cites Dahne and J.

The energy of fractional Allen--Cahn layers in dimension one Dahne and J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:08.626050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9d28f9fc-cee3-429a-9631-ae67a300c11e · outbound

This paper cites Dahne, J.

The energy of fractional Allen--Cahn layers in dimension one Dahne, J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T12:18:03.542272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ca3cda0-5775-4640-9867-9b6ab8a034e5 · outbound

This paper cites Di Nezza, G.

The energy of fractional Allen--Cahn layers in dimension one Di Nezza, G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:08.447979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4eaf9db3-4658-43e7-bc6e-7e171941a556 · outbound

This paper cites Donninger and B.

The energy of fractional Allen--Cahn layers in dimension one Donninger and B

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T12:18:03.693672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c4b5fe5-b19d-46e0-8b61-541830198650 · outbound

This paper cites G´ omez-Serrano.

The energy of fractional Allen--Cahn layers in dimension one G´ omez-Serrano

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:08.240780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f251031b-4f61-4c6c-865c-32cfe868e076 · outbound

This paper cites Johansson.

The energy of fractional Allen--Cahn layers in dimension one Johansson

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:08.075954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 59561808-5003-4455-b16a-a09939fc773f · outbound

This paper cites Kato.Perturbation Theory for Linear Operators, volume 132 ofGrundlehren der mathematischen Wis- senschaften.

The energy of fractional Allen--Cahn layers in dimension one Kato.Perturbation Theory for Linear Operators, volume 132 ofGrundlehren der mathematischen Wis- senschaften

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:07.896177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bbc6f38f-a182-4add-a04c-a00ebaa97ea0 · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:07.729822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bd46e598-b828-44e4-acf8-1a16a72f002e · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:07.536025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e711da4-4096-49a7-b7b0-0965ba86bce1 · outbound

This paper cites Modica and S.

The energy of fractional Allen--Cahn layers in dimension one Modica and S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:07.348081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 25ce968a-62d9-45d1-8497-e3b6817439b8 · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:07.175795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f31cef4a-2a11-43b5-a4b9-8683fdc0d59d · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:07.010122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bc564456-1c14-4052-aeb4-b793fc1ae877 · outbound

This paper cites Palatucci, O.

The energy of fractional Allen--Cahn layers in dimension one Palatucci, O

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:06.831028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 905bacdc-9f36-4359-ab13-da8b2b8ae020 · outbound

This paper cites Savin and E.

The energy of fractional Allen--Cahn layers in dimension one Savin and E

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:06.634734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ff57b42-6cf8-404b-8001-7d5b1d9a6a25 · outbound

This paper cites Savin and E.

The energy of fractional Allen--Cahn layers in dimension one Savin and E

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:06.470487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f0c05f07-8c5a-435f-854c-55f8467f0632 · outbound

This paper cites Sire and E.

The energy of fractional Allen--Cahn layers in dimension one Sire and E

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:06.261405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation baf3b093-043a-4447-8d95-e5f05739547e · outbound

This paper cites an unresolved cited work.

The energy of fractional Allen--Cahn layers in dimension one Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:18:06.001467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 80f4d3bd-49ca-431d-b42f-2e80a9520215 · outbound

This paper cites Tucker.Validated Numerics: A Short Introduction to Rigorous Computations.

The energy of fractional Allen--Cahn layers in dimension one Tucker.Validated Numerics: A Short Introduction to Rigorous Computations

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:18:05.718336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.