Pith Number

pith:XTKEIPFO

pith:2025:XTKEIPFOJY5TES76ERIAKBBG4D

not attested not anchored not stored refs pending

Phase-field modelling of cohesive fracture. Part II: Reconstruction of the cohesive law

Francesco Colasanto, Matteo Focardi, Roberto Alessi

arxiv:2507.12172 v1 · 2025-07-16 · 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{XTKEIPFOJY5TES76ERIAKBBG4D}

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.

Cited by

1 paper in Pith

Quasistatic evolution of cohesive-type fracture

Receipt and verification

First computed	2026-07-05T11:38:15.895827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd4443cae4e3b324bfe2450050426e0c2c49c4a77a73335687c84c19f7c802c

Aliases

arxiv: 2507.12172 · arxiv_version: 2507.12172v1 · doi: 10.48550/arxiv.2507.12172 · pith_short_12: XTKEIPFOJY5T · pith_short_16: XTKEIPFOJY5TES76 · pith_short_8: XTKEIPFO

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/XTKEIPFOJY5TES76ERIAKBBG4D \
  | 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: bcd4443cae4e3b324bfe2450050426e0c2c49c4a77a73335687c84c19f7c802c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4e1c027b276e37be81630bdd6cb6a027abd8d8ee1849e9887e5ecfbde8073d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-16T12:08:07Z",
    "title_canon_sha256": "32de2dfaca441b1c4d3ed6bbb99b9f6ec4c5847c9dee270340610ca7a72d68a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12172",
    "kind": "arxiv",
    "version": 1
  }
}