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Paper Citation Record · LEDGER

Compactness for $GSBV^p$ via concentration-compactness

As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2501.16308.

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

pith.paper-citation-record.v1
2501.16308 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:43:57.557516Z

measured 18 of 18 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:34:55.800307Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:34:55.899164Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b90fd09c-5e24-447e-8af5-42919f493b52 · outbound

This paper cites Almi and E.

Compactness for $GSBV^p$ via concentration-compactness Almi and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.953063Z

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.

source=pdf_text observed=2026-08-10T13:43:57.482870Z digest=sha256:d666f66003b825a4b24b1132a2ab34d120f01d9dc0b085938f8b0e5649885fbc

Observation 07bf710c-184e-4d75-a9bf-62120130af63 · outbound

This paper cites Ambrosio, Existence theory for a new class of variational problems , Arch.

Compactness for $GSBV^p$ via concentration-compactness Ambrosio, Existence theory for a new class of variational problems , Arch

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.939297Z

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.

source=pdf_text observed=2026-08-10T13:43:57.487940Z digest=sha256:62349613782c7ae0f1166d8fbe468e6d43292049a9e78093ad0a800842ca166c

Observation 22a88a8b-34c9-4623-b90d-4890742426c6 · outbound

This paper cites 23 (1994), no.

Compactness for $GSBV^p$ via concentration-compactness 23 (1994), no

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.925111Z

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.

source=pdf_text observed=2026-08-10T13:43:57.492679Z digest=sha256:d98b7ed9f2620df7cea5667d410902cede2e06d0b6034be7252ef2b4fe7a16a5

Observation 79975fba-2935-4c83-9fb1-61dfad7afb44 · outbound

This paper cites Ambrosio, N.

Compactness for $GSBV^p$ via concentration-compactness Ambrosio, N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.911513Z

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.

source=pdf_text observed=2026-08-10T13:43:57.497155Z digest=sha256:66feb6aed857e7fe8b60f37be5c06fe31b7de8b6fd05ea9b679c25ac66cc5cf7

Observation 45aca00e-64a0-46ff-b664-47a766122a5d · outbound

This paper cites Braides, Approximation of free discontinuity problems , Springer, 1998.

Compactness for $GSBV^p$ via concentration-compactness Braides, Approximation of free discontinuity problems , Springer, 1998

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.897384Z

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.

source=pdf_text observed=2026-08-10T13:43:57.501628Z digest=sha256:27e61132ac0ec19094a0d5ab65dafb39dda2651d8ebda11593d2818f69620ff0

Observation 0f6aaf50-d952-4d7b-9c6c-435fdd8ff5ef · outbound

This paper cites Chambolle and V.

Compactness for $GSBV^p$ via concentration-compactness Chambolle and V

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.882973Z

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.

source=pdf_text observed=2026-08-10T13:43:57.505839Z digest=sha256:0b23fee25776b1257ad8f4b621cd82a3d9c7b9884db0da8a386b06e67295bb3e

Observation 6b55ea33-b417-4590-a5f7-34d278618aba · outbound

This paper cites Chambolle and V.

Compactness for $GSBV^p$ via concentration-compactness Chambolle and V

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.869634Z

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.

source=pdf_text observed=2026-08-10T13:43:57.510541Z digest=sha256:405bd7dfdb8e1a7ed787ab5ad129f3f7d24994d28f0b568ecf0dc8aac2a583a8

Observation ca9fb74e-2bbe-4f90-b82c-91e661c0bf9c · outbound

This paper cites Dal Maso, G.

Compactness for $GSBV^p$ via concentration-compactness Dal Maso, G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.856076Z

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.

source=pdf_text observed=2026-08-10T13:43:57.514885Z digest=sha256:6a0a9edf96254ca3b73ddf746bcdc09f5e4d7b6e659d06b7e0c38834a5c2f262

Observation 5c6d7f8a-ffcd-4da5-85a9-6a6076714ca6 · outbound

This paper cites Rational Mech.

Compactness for $GSBV^p$ via concentration-compactness Rational Mech

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.842505Z

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.

source=pdf_text observed=2026-08-10T13:43:57.519209Z digest=sha256:749acfa9b5845cdf7456b34121c33571c3427dc1f519cd0336e4ad53a2a652f7

Observation 2958612b-3578-45b8-917f-bd1d9a44d023 · outbound

This paper cites Dal Maso and R.

Compactness for $GSBV^p$ via concentration-compactness Dal Maso and R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.827068Z

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.

source=pdf_text observed=2026-08-10T13:43:57.523702Z digest=sha256:8a46972b778b7b27bd39cfdcb7bb76cba5978f37ac28466eb8a213a5030f1cf4

Observation a9f63d26-5d5f-425f-b928-02a9bda8dafb · outbound

This paper cites Donati, A new space of generalised vector-valued functions of bound ed variation , arXiv preprint (2024), arxiv:2310.11538.

Compactness for $GSBV^p$ via concentration-compactness Donati, A new space of generalised vector-valued functions of bound ed variation , arXiv preprint (2024), arxiv:2310.11538

Reference 11

Resolution
verified exact
raw_fallback, observed 2026-08-10T13:43:57.748569Z

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.

source=pdf_text observed=2026-08-10T13:43:57.528445Z digest=sha256:5d2ca067a5f8a1bd32c39f2ff91f8caeb4c95e0a86de69cb3ec2643603d63a27

Observation ad327895-94c0-4b63-b4dd-cf157a3a0ce6 · outbound

This paper cites an unresolved cited work.

Compactness for $GSBV^p$ via concentration-compactness Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T13:43:57.810204Z

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.

source=pdf_text observed=2026-08-10T13:43:57.533403Z digest=sha256:812a30f2c7291e25d999204efd6d09b61eb0d08e74ef139339265bc6a74d2201

Observation be324871-7c51-438e-abb0-1658592d40d6 · outbound

This paper cites Friedrich, A compactness result in GSBV p and applications to Γ -convergence for free discontinuity problems , Calc.

Compactness for $GSBV^p$ via concentration-compactness Friedrich, A compactness result in GSBV p and applications to Γ -convergence for free discontinuity problems , Calc

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.794275Z

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.

source=pdf_text observed=2026-08-10T13:43:57.538423Z digest=sha256:e37fdfa7e9a7e98431b857d781eb4ff94657e382b2139cc03919a10af1d9868d

Observation 52bf1a4f-06b7-4c00-bdec-8bcabc08ee4c · outbound

This paper cites Friedrich and F.

Compactness for $GSBV^p$ via concentration-compactness Friedrich and F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.778507Z

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.

source=pdf_text observed=2026-08-10T13:43:57.543117Z digest=sha256:3a8160c884bc28ddf5cc38e3c89dd5866e6ab0cf05e478969acb53ab681b149e

Observation 598f5f5e-b43a-4525-b255-5a75444f2bcd · outbound

This paper cites Linearization of quasistatic fracture evolution in brittle materials.

Compactness for $GSBV^p$ via concentration-compactness Linearization of quasistatic fracture evolution in brittle materials

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-10T13:43:57.547871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T13:43:57.547871Z digest=sha256:0c8b03159eca59f13792c080aecf09c03ded004ec43355450a42e233bff2c637

Observation 54d578c4-5bfb-477a-9fd2-bd7ce19f5bb4 · outbound

This paper cites Lions, The concentration-compactness principle in the calculus o f variations.

Compactness for $GSBV^p$ via concentration-compactness Lions, The concentration-compactness principle in the calculus o f variations

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T13:43:57.763601Z

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.

source=pdf_text observed=2026-08-10T13:43:57.552769Z digest=sha256:88e606b6da498cfd482e4c99bdd9f22cac789cf677d1faa56650229c0d8e11a3

Observation eb57d7ea-a29a-4668-95eb-561c96c8bc92 · outbound

This paper cites An elliptic approximation for phase separation in a fractured material.

Compactness for $GSBV^p$ via concentration-compactness An elliptic approximation for phase separation in a fractured material

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-10T13:43:57.602829Z

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.

source=pdf_text observed=2026-08-10T13:43:57.557516Z digest=sha256:4041e82a25a00036d0eefb3f8421ed578286628176e8e46bc975918e4b47bef7

Pith citing papers

Observation 01448ff0-fd63-4062-abb7-43cc55c45866 · inbound

A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation cites this paper.

A matrix-valued measure associated to the derivatives of a function of generalised bounded deformation Compactness for $GSBV^p$ via concentration-compactness

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:34:55.904423Z

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.

source=pdf_text observed=2026-08-15T18:34:55.800307Z digest=sha256:4bc2c03c93d55cba7b3e08c9e8b4f8f35a53b2f07c91232722655a8a18ec4086