Pith Number

pith:ULLQNWEI

pith:2018:ULLQNWEIDL32XI3VAPONJ52KAE

not attested not anchored not stored refs pending

Phase-field approximation for a class of cohesive fracture energies with an activation threshold

Antonin Chambolle, Vito Crismale

arxiv:1812.05301 v2 · 2018-12-13 · 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{ULLQNWEIDL32XI3VAPONJ52KAE}

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	2026-05-17T23:53:49.849457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d706d8881af7aba37503dcd4f74a0135fa4b9e0eaa238ab8d31910ccd4e0db

Aliases

arxiv: 1812.05301 · arxiv_version: 1812.05301v2 · doi: 10.48550/arxiv.1812.05301 · pith_short_12: ULLQNWEIDL32 · pith_short_16: ULLQNWEIDL32XI3V · pith_short_8: ULLQNWEI

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/ULLQNWEIDL32XI3VAPONJ52KAE \
  | 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: a2d706d8881af7aba37503dcd4f74a0135fa4b9e0eaa238ab8d31910ccd4e0db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e832e198c2cb6a3244acb2b896c8237513045a172ad8ea9a0fbe16ef2dfdeee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-13T07:39:35Z",
    "title_canon_sha256": "5396f91e41df81377dd39f61a6b0b4a7fcf92f3c1614f718373047a46e204c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05301",
    "kind": "arxiv",
    "version": 2
  }
}