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Paper Citation Record · LEDGER

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension

As of 23 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2501.04576.

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

pith.paper-citation-record.v1
2501.04576 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:38:43.132501Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:13:47.995702Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T11:13:52.639530Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71dd547f-9fad-428d-92d7-7f3b02c31028 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.492448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.618722Z digest=sha256:276f1de89b00f3e522b9a912198aaa68b7f30a62144da24292c73d5debd55767

Observation c8bb87dd-144e-471a-8ffc-7bf35ccf62ba · outbound

This paper cites Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Traveling wave solution for a coupled incompressible Darcy's free boundary problem with surface tension

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T21:38:42.700896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:38:42.700896Z digest=sha256:416de55c8b20598ee8def1fff95027e9001aeeae87902a9b357f6d86f74d3ece

Observation cedc617c-1a58-4a07-be3c-f44382b1f6ca · outbound

This paper cites M., Theriot, J.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension M., Theriot, J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:44.469732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.740642Z digest=sha256:74322890fa5311ff8d1b0bf89873e693669db5b49693d5bee61a8798c79ed49d

Observation 129f6d2f-6ed1-4ca5-b43c-e206aa840030 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.428978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.746927Z digest=sha256:b30db0e245dfdc09f6e0ceb0825d69fc6419f63b17867ef6ee3bfe4fad69d0d4

Observation f4de60db-d01f-4814-9e9f-298fac0ff9ef · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.345558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.752729Z digest=sha256:3b852b0b44f7c53b0c0a63265d67d5d255f1410050b624c08ca5328b7c1b45b0

Observation 40d5b00e-29ea-491c-aa8f-721ae64c0de1 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.319950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.759859Z digest=sha256:bd2fe2e967fe0a17aa0aaf8a13e9cbea21e727d4ea3b78174879133554c7cdd4

Observation 8efe325d-46c3-4775-b298-91d98e0578ad · outbound

This paper cites and Rybalko, V.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Rybalko, V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:44.302546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.771815Z digest=sha256:6179bf72ff38eaf475dbe7adc6990f7c577e9a3ec45a75d9fffe10126602ec3c

Observation bd0d6d11-9e21-4612-bf37-e08b4b9e1f06 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.248497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.779873Z digest=sha256:0661aea25a142f08a20b004ff06f17e803c5e220c2482b5ddc75e0f683112d6a

Observation 9e872dd9-f84e-4255-ba24-49b0422657e8 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.146625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.784673Z digest=sha256:086e5419d0d0b767256465096f37483e99292af62936dc6b7ae081f094c2df3f

Observation 3273e471-bb6c-4fcf-9a9e-550d0aaf295f · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.040099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.791725Z digest=sha256:5668e758a2e4719a73208ef0c39df7395106277baa3b369964b4baacfaa87604

Observation c38ac940-4bce-4762-a2fb-5a9de45ed898 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.015910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.796092Z digest=sha256:2547f8f37d8f57a7dc79763b677e3df6dabea29561e73f85ba1a077b3b5e6262

Observation 40a9e2aa-690b-49d2-875f-b7f8987cbc6d · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:44.000020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.801808Z digest=sha256:a7cd81e4fa1668e5e550128548fa59c31aa185da0b683f6bb80d399a07b27eee

Observation acf8253e-9b24-407c-b37a-e0ce608458ef · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.951297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.807050Z digest=sha256:51c065aa004b404f132a015b7d8eb06bf8b572221a41bf7dafdc24985e05c407

Observation 0174693a-05e7-43a8-a5f0-be1b32e6b6ee · outbound

This paper cites and Hu, B.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Hu, B

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:43.758806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.811368Z digest=sha256:efcd97c8f3c201b5945b106eae0ae24fb8af50aec142c33a07c5926ecfd9616c

Observation 987b0fb8-97e9-4d50-b318-7cc7a77bca99 · outbound

This paper cites and Reitich, F.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Reitich, F

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:43.706584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.816139Z digest=sha256:292114a9d3a4ee867efd09e6a98c7e3b3114d9208662d03b2dc8e801d94dc63d

Observation ddf15f9c-daf5-4c11-a9e3-118c2a265b3c · outbound

This paper cites M., Barnhart, E.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension M., Barnhart, E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:43.690913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.821999Z digest=sha256:8442d6a2e54f071587905f370f78f7b24accdeac968cc8baf04c84a4a80f0479

Observation 2001dcb9-38f5-4a0d-ab14-a68a7c7a1724 · outbound

This paper cites Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:38:43.179903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.882575Z digest=sha256:522db2f7f61ef26e674c3d558cda3439bde79327ea5da1af4ddf3fd291f6ee33

Observation 9f8eccdd-9b4e-49b4-9b46-69dcc402d87e · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.667075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:42.967239Z digest=sha256:8eb07aaab0e535adc569a0a39dea23221e560e831c478d8a5f575069d120c537

Observation 997f84ab-32e5-46b7-ba13-e379f7f64dc4 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.649930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.064832Z digest=sha256:3aa7d25e53921980541c598338d1cd6561a97fbd5aed27e5b4caa27991f35bd3

Observation adea48d9-1313-41f3-b18c-8eed73936cc2 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.628049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.089932Z digest=sha256:efa3d61ffd6a149795c91a237b00fd334446d8a6c8b099058ee4cba40e8a467f

Observation 17fb752f-964c-4a1f-ab13-572e17c8169d · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.515342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.095227Z digest=sha256:61bd141c9fefbfeb3e7df172e3c08ead04461f34bf1362b8dcddf676350c1450

Observation 99bf6114-a438-4811-b5fc-2338b0e6b566 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.428164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.100634Z digest=sha256:11b37f814d7496b1f7e7533d2bbba9419a5c8f7ec0b703c97efc4fe865621124

Observation 458e50b8-8d25-4029-ae43-742a459af653 · outbound

This paper cites and Truskinovsky, L.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Truskinovsky, L

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:43.409841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.105539Z digest=sha256:2bb42d67985ce1ff822829a18f558c30af39c1584eda95374e0cca5b90c4fb2c

Observation 1619d88b-3f8b-4610-a69e-69f0c5d42aa8 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.370753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.110917Z digest=sha256:d1eb255b26d85fec854d6adcf8fd635da9c09db0b86f89a64ae88a9e0245262e

Observation 951ca60a-2627-4cf6-81c7-81d1171e27f3 · outbound

This paper cites and Berlyand, L.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Berlyand, L

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:43.350210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.115554Z digest=sha256:af0160c8ec829f0df65b8ece37548caa97865ec232154bc4cb43cfd8222165db

Observation a31c9ba2-c58e-4890-b671-625aa0c8ca13 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.328930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.121973Z digest=sha256:466633d38a9c89bb9cc5584ca2c4a68f8abd3352d60f457f70f176ffca56e252

Observation b13e6e82-11d1-484c-b2a6-05b89a381012 · outbound

This paper cites an unresolved cited work.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:38:43.307386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.126348Z digest=sha256:0fbd3930ee0b2849f23ec754ed93fdaed966430ec94dcd0603c3632f8cea35e5

Observation d4833e81-feb8-4ded-9e39-478f01d8d3e0 · outbound

This paper cites and Aranson, I.

Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension and Aranson, I

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:38:43.259166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-10T21:38:43.132501Z digest=sha256:ea0a1b671372bdf95292cc3bd2fa7a7048b3dc82a5b978486375af5c1211d4ea

Pith citing papers

Observation febc2abd-30b3-45a6-b9e3-d384d2588c4f · inbound

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion cites this paper.

Change of bifurcation type in 2D free boundary model of a moving cell with nonlinear diffusion Existence of traveling wave for a coupled incompressible Darcy's free boundary model with undercooling effect and surface tension

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:13:52.719851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T11:13:47.995702Z digest=sha256:730eb1ee2410534fc9023d144af02c651a833d34a9e09f1968b6651bf26ae67f