Pith Number

pith:PBNJUOEZ

pith:2010:PBNJUOEZE7DCWW6YJNJ6IN7THL

not attested not anchored not stored refs pending

Reconstruction of cracks and material losses by perimeter-like penalizations and phase-field methods: numerical results

Luca Rondi, Wolfgang Ring

arxiv:1005.3704 v1 · 2010-05-20 · 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{PBNJUOEZE7DCWW6YJNJ6IN7THL}

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	2026-05-18T00:50:58.240345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785a9a389927c62b5bd84b53e437f33ae3dcc5a34beb8bace86aaaecb3816860

Aliases

arxiv: 1005.3704 · arxiv_version: 1005.3704v1 · doi: 10.48550/arxiv.1005.3704 · pith_short_12: PBNJUOEZE7DC · pith_short_16: PBNJUOEZE7DCWW6Y · pith_short_8: PBNJUOEZ

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/PBNJUOEZE7DCWW6YJNJ6IN7THL \
  | 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: 785a9a389927c62b5bd84b53e437f33ae3dcc5a34beb8bace86aaaecb3816860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffdff83264ebbf60df9f2e16ac0b1d0ee51c1a4df5bb53c72f3049e7bce0033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-05-20T14:24:47Z",
    "title_canon_sha256": "fe69f0c486c88914666de23a1080035003693f42eb81beed74a20eb34210b091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3704",
    "kind": "arxiv",
    "version": 1
  }
}