Pith Number

pith:3U6K75GB

pith:2018:3U6K75GBTSFLRS4HYH35V5FVW7

not attested not anchored not stored refs pending

A Study on Phase-Field Models for Brittle Fracture

Fei Zhang, Shicheng Zhang, Weizhang Huang, Xianping Li

arxiv:1805.07357 v1 · 2018-05-18 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U6K75GBTSFLRS4HYH35V5FVW7}

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	2026-05-18T00:15:35.943737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3caff4c19c8ab8cb87c1f7daf4b5b7f640ea5f1222d0c0c53b782314002b3c

Aliases

arxiv: 1805.07357 · arxiv_version: 1805.07357v1 · doi: 10.48550/arxiv.1805.07357 · pith_short_12: 3U6K75GBTSFL · pith_short_16: 3U6K75GBTSFLRS4H · pith_short_8: 3U6K75GB

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/3U6K75GBTSFLRS4HYH35V5FVW7 \
  | 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: dd3caff4c19c8ab8cb87c1f7daf4b5b7f640ea5f1222d0c0c53b782314002b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29d764c25c73e0a8edc55c9255b555c6dc38860b1a9ec91ba6e316c4b17fd4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-05-18T09:44:23Z",
    "title_canon_sha256": "35aa9335947034f3ba9de1e1b0944d58df5ed09bc86996898e05d0bb087df116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07357",
    "kind": "arxiv",
    "version": 1
  }
}