Pith Number

pith:F2EHQR5D

pith:2020:F2EHQR5DFKT5SSVLOEQB6HO74J

not attested not anchored not stored refs pending

A micromechanics-informed phase field model for brittle fracture accounting for the unilateral constraint

Cheng cheng, Vahid Ziaei-Rad, Yangyuanchen Liu, Yongxing Shen

arxiv:2007.03757 v1 · 2020-07-06 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2EHQR5DFKT5SSVLOEQB6HO74J}

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	2026-07-05T06:57:03.806244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e887847a32aa7d94aab71201f1ddfe27f2f8dbb87751b6b80228bc2133773f3

Aliases

arxiv: 2007.03757 · arxiv_version: 2007.03757v1 · doi: 10.48550/arxiv.2007.03757 · pith_short_12: F2EHQR5DFKT5 · pith_short_16: F2EHQR5DFKT5SSVL · pith_short_8: F2EHQR5D

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/F2EHQR5DFKT5SSVLOEQB6HO74J \
  | 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: 2e887847a32aa7d94aab71201f1ddfe27f2f8dbb87751b6b80228bc2133773f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9ca67e4c1b30a9b0074bc54cf1bcc8edc4ead474a4a6cd4108d8b3db5b1996e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2020-07-06T15:13:18Z",
    "title_canon_sha256": "ba2c64e8b0f99e30ba632aecf161466adee0a4f148f8fc09637e46fa9effc990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.03757",
    "kind": "arxiv",
    "version": 1
  }
}