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Paper Citation Record · LEDGER

Compactness for $GSBV^p$ via concentration-compactness

As of 14 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations 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 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.482870Z digest=sha256:f86ecf76fdf13ebe15af807d8053d2f7ef86ff24e56dec9fcd24cf1f1e8fe5c3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.487940Z digest=sha256:ccca9a2e3d62984b9285eeef7925ac4ad6e91c0c943e666ec33832200bff57d7

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.492679Z digest=sha256:440190c2a2ccb7778a823ca42890dd3f68b97587740e3a51953ccd4c79add7f3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.497155Z digest=sha256:bf7f5609cbd97618f01613a39e1770b6b3181ccafeda59e86dd723867d0a662a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.501628Z digest=sha256:d0bec0f73f7159ecd697e536de0583167152aca853192b15f7a8c0bfdcb62fb5

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.505839Z digest=sha256:d4d8e3b46a50875d0a3e27107e416d9fc376e84805f94f904f7fa708f780314b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.510541Z digest=sha256:048d43a7e4274395c037abc3201929714974d38f8b881cd7f208629b714295e6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.514885Z digest=sha256:053cc393fc6604bbb4ab7ac73fcb4c8742384e1475012afadb4428e2d9944da4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.519209Z digest=sha256:e6ab27a7ae780ea61c317173572414bc10c89b9ae160e2012c09849d92566aa1

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.523702Z digest=sha256:9bc62d209e5e23b11c1ad58c6328b723cd8c39120a663d963970e7ce294146e2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.528445Z digest=sha256:74029e21e86b5b73939a9bc47d3781c483602e0f0d16b2a797810f0da7525f41

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.533403Z digest=sha256:adb807295af3d40fb0e0df53a2516ae66d0cc5e09ab5d01d932078d09b54d842

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.538423Z digest=sha256:5e5e03b0be5df59cf36fbd4b6f5695946d137c77409ab1efe00ed988051a0e9d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.543117Z digest=sha256:04102ca1c7c66b06388db4ef650d252842b6cc95ac1b054348a9f9d8a238116c

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=sha256:5f8012dc969afbc9034d548a590426f4d394bede14c8a79545ea02818b21c19d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.552769Z digest=sha256:a1c0a23bae19a4ebbbb2feec72bc2d58d9a269fd17722eb6d202075d15515948

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-10T13:43:57.557516Z digest=sha256:374b9cc48754f9b4d40649793bcc0386fc24c6f2d89ade7d732ff569469c3a66

Pith citing papers

No inbound Pith citation observations are available.