Pith Number

pith:45RSUWEN

pith:2015:45RSUWENXCC5V7IX7VN3ZMIR5N

not attested not anchored not stored refs pending

Linear and nonlinear solvers for variational phase-field models of brittle fracture

Corrado Maurini, Patrick E. Farrell

arxiv:1511.08463 v2 · 2015-11-26 · 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{45RSUWENXCC5V7IX7VN3ZMIR5N}

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	2026-05-18T01:14:44.606985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7632a588db885dafd17fd5bbcb111eb5d9f3fdb96f154c60536a8d02d0c91e2

Aliases

arxiv: 1511.08463 · arxiv_version: 1511.08463v2 · doi: 10.48550/arxiv.1511.08463 · pith_short_12: 45RSUWENXCC5 · pith_short_16: 45RSUWENXCC5V7IX · pith_short_8: 45RSUWEN

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/45RSUWENXCC5V7IX7VN3ZMIR5N \
  | 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: e7632a588db885dafd17fd5bbcb111eb5d9f3fdb96f154c60536a8d02d0c91e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9cf7197c602ca31651e9bce564907c392f738c4246649d27e839bd19de43ccb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-26T18:03:08Z",
    "title_canon_sha256": "aa96ac53833832d406b737a5b35ec8f749d85bb6f9f69d8e11c13fc82b4de6b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08463",
    "kind": "arxiv",
    "version": 2
  }
}