Pith Number

pith:Q4ZHFBMD

pith:2020:Q4ZHFBMD5MBJJVEHKXWU5TWKJB

not attested not anchored not stored refs pending

Phase field theory for fracture at large strains including surface stresses

Gholam Hossein Farrahi, Hossein Jafarzadeh, Mahdi Javanbakht, Valery I. Levitas

arxiv:2011.13324 v1 · 2020-11-26 · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4ZHFBMD5MBJJVEHKXWU5TWKJB}

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	2026-07-05T01:54:53.098375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8732728583eb0294d48755ed4ececa4862517e44e0f9a57581f2c52de8195dc2

Aliases

arxiv: 2011.13324 · arxiv_version: 2011.13324v1 · doi: 10.48550/arxiv.2011.13324 · pith_short_12: Q4ZHFBMD5MBJ · pith_short_16: Q4ZHFBMD5MBJJVEH · pith_short_8: Q4ZHFBMD

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/Q4ZHFBMD5MBJJVEHKXWU5TWKJB \
  | 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: 8732728583eb0294d48755ed4ececa4862517e44e0f9a57581f2c52de8195dc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9e59d2c601d48c97b4e5b05c37a8f3184cca11e1d0a450d130bc810cae8896",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2020-11-26T14:47:22Z",
    "title_canon_sha256": "120978ea7cc77bf082524fdec3480cda4e313ba099fd04b77ff0e3c151f25d66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.13324",
    "kind": "arxiv",
    "version": 1
  }
}