Pith Number

pith:DJJNZEYW

pith:2004:DJJNZEYW2U2MPNUDKPSGQQ2EW3

not attested not anchored not stored refs pending

Quasi-static evolution in brittle fracture: the case of bounded solutions

Gianni Dal Maso, Gilles A. Francfort, Rodica Toader

arxiv:math/0401198 v1 · 2004-01-16 · 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{DJJNZEYW2U2MPNUDKPSGQQ2EW3}

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	2026-05-18T01:05:26.655131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a52dc9316d534c7b68353e4684344b6f9072daca454e3b8a3b91b8c06551070

Aliases

arxiv: math/0401198 · arxiv_version: math/0401198v1 · doi: 10.48550/arxiv.math/0401198 · pith_short_12: DJJNZEYW2U2M · pith_short_16: DJJNZEYW2U2MPNUD · pith_short_8: DJJNZEYW

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/DJJNZEYW2U2MPNUDKPSGQQ2EW3 \
  | 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: 1a52dc9316d534c7b68353e4684344b6f9072daca454e3b8a3b91b8c06551070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c6c2c43ba1f8521efe30f9ead987ce68ce361c6b98da932fe8fa18c8c2b083d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-01-16T10:38:51Z",
    "title_canon_sha256": "575d49a617510f648ac5bd6b3e474e9bde5ce8bf0bf3c9de8383e8771c7acffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401198",
    "kind": "arxiv",
    "version": 1
  }
}