Pith Number

pith:36MRAPCE

pith:2025:36MRAPCEB6FQ6BNMROP3SYTUWW

not attested not anchored not stored refs pending

Energy-consistent dynamic fracture phase field models: unilateral constraints and finite element simulations

Masato Kimura, Md Mamun Miah, Ryuhei Wakida

arxiv:2506.14788 v2 · 2025-05-27 · math.NA · cs.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{36MRAPCEB6FQ6BNMROP3SYTUWW}

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	2026-07-05T11:24:53.799069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df99103c440f8b0f05ac8b9fb96274b5a12ba7b95fe5e45a987cb2cb9a56e914

Aliases

arxiv: 2506.14788 · arxiv_version: 2506.14788v2 · doi: 10.48550/arxiv.2506.14788 · pith_short_12: 36MRAPCEB6FQ · pith_short_16: 36MRAPCEB6FQ6BNM · pith_short_8: 36MRAPCE

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/36MRAPCEB6FQ6BNMROP3SYTUWW \
  | 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: df99103c440f8b0f05ac8b9fb96274b5a12ba7b95fe5e45a987cb2cb9a56e914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ef79e482606e6c1c40b91f1e8c5d56a8e1b8e112b1798f2c23b0715c71f583",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-27T15:23:45Z",
    "title_canon_sha256": "4b4ea69603095748cdf1d2fcece6e443f35e5e124c5f9c5de1dab8bbdfd5d064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14788",
    "kind": "arxiv",
    "version": 2
  }
}