Pith Number

pith:3HFDFCRK

pith:2020:3HFDFCRK7WFUXTL2N3UAVK6S4F

not attested not anchored not stored refs pending

Lower semicontinuity for functionals defined on piecewise rigid functions and on $GSBD$

Francesco Solombrino, Manuel Friedrich, Matteo Perugini

arxiv:2002.08133 v3 · 2020-02-19 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HFDFCRK7WFUXTL2N3UAVK6S4F}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T01:57:14.791403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9ca328a2afd8b4bcd7a6ee80aabd2e17b753cad3fb5223119692e20ee2404ce

Aliases

arxiv: 2002.08133 · arxiv_version: 2002.08133v3 · doi: 10.48550/arxiv.2002.08133 · pith_short_12: 3HFDFCRK7WFU · pith_short_16: 3HFDFCRK7WFUXTL2 · pith_short_8: 3HFDFCRK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3HFDFCRK7WFUXTL2N3UAVK6S4F \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d9ca328a2afd8b4bcd7a6ee80aabd2e17b753cad3fb5223119692e20ee2404ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cadd2745bde1081b90e3bf83df1c96044a43e92df6423a036bc014d64c68566a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-02-19T12:25:38Z",
    "title_canon_sha256": "de82e2c791337013802a87441de663760267995952be16a3d103602472c522eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.08133",
    "kind": "arxiv",
    "version": 3
  }
}