Pith Number

pith:QUSHEVTO

pith:2018:QUSHEVTOOBMT6SAGHK7R6ODSRM

not attested not anchored not stored refs pending

On the crack-driving force of phase-field models in linearized and finite elasticity

Carola Bilgen, Kerstin Weinberg

arxiv:1808.00542 v1 · 2018-07-31 · math.NA · 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{QUSHEVTOOBMT6SAGHK7R6ODSRM}

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	2026-05-17T23:42:30.032370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

852472566e70593f48063abf1f38728b13a5d3b40e5dd34ebb7e8710a0c94352

Aliases

arxiv: 1808.00542 · arxiv_version: 1808.00542v1 · doi: 10.48550/arxiv.1808.00542 · pith_short_12: QUSHEVTOOBMT · pith_short_16: QUSHEVTOOBMT6SAG · pith_short_8: QUSHEVTO

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/QUSHEVTOOBMT6SAGHK7R6ODSRM \
  | 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: 852472566e70593f48063abf1f38728b13a5d3b40e5dd34ebb7e8710a0c94352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3ca02b765abca62aa85df5962ec1542afeabd096c26614fe8d33d9229001531",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-31T10:56:34Z",
    "title_canon_sha256": "9484bc6e7304ac6036b4a7bd7026cbdbf6b19d8f472ffbabcfab7856e5d8f7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00542",
    "kind": "arxiv",
    "version": 1
  }
}