Pith Number

pith:YI4XXCNK

pith:2019:YI4XXCNKM2FYGTEKFTUKEQ2OQT

not attested not anchored not stored refs pending

Partial regularity for the crack set minimizing the two-dimensional Griffith energy

Antoine Lemenant, Flaviana Iurlano, Jean-Fran\c{c}ois Babadjian

arxiv:1905.10298 v1 · 2019-05-23 · 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{YI4XXCNKM2FYGTEKFTUKEQ2OQT}

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	2026-05-17T23:45:10.676662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2397b89aa668b834c8a2ce8a2434e84f78ef0672940fe8e4a1c0bb5be419b1e

Aliases

arxiv: 1905.10298 · arxiv_version: 1905.10298v1 · doi: 10.48550/arxiv.1905.10298 · pith_short_12: YI4XXCNKM2FY · pith_short_16: YI4XXCNKM2FYGTEK · pith_short_8: YI4XXCNK

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/YI4XXCNKM2FYGTEKFTUKEQ2OQT \
  | 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: c2397b89aa668b834c8a2ce8a2434e84f78ef0672940fe8e4a1c0bb5be419b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9af8142a9ea05341dd5ffaebae083b66b4777564ba9875fe7134272b0449ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-23T09:18:36Z",
    "title_canon_sha256": "703e8d2eb80b6d1f6b0eb51b101f01e34aa622a4c63df90057c16d0311a37f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10298",
    "kind": "arxiv",
    "version": 1
  }
}