Pith Number

pith:G27ZQ5XV

pith:2026:G27ZQ5XVUAKWD5NL2KFJMVCOLP

not attested not anchored not stored refs pending

Scalable dynamical inference of phase-field fracture from sparse and partial measurements

Hanfeng Zhai, Zisheng Zhang

arxiv:2608.15426 v1 · 2026-08-15 · physics.comp-ph · cond-mat.mtrl-sci · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G27ZQ5XVUAKWD5NL2KFJMVCOLP}

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	2026-08-18T01:15:29.093258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bf9876f5a01561f5abd28a96544e5bc105b881f466949e3e17c4c6d132bc31

Aliases

arxiv: 2608.15426 · arxiv_version: 2608.15426v1 · doi: 10.48550/arxiv.2608.15426 · pith_short_12: G27ZQ5XVUAKW · pith_short_16: G27ZQ5XVUAKWD5NL · pith_short_8: G27ZQ5XV

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/G27ZQ5XVUAKWD5NL2KFJMVCOLP \
  | 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: 36bf9876f5a01561f5abd28a96544e5bc105b881f466949e3e17c4c6d132bc31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a3f6238e1eccbe2f1e678615ba0ae96e5227e2fd2ac1e8cf1ad504b98047da",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-08-15T22:02:32Z",
    "title_canon_sha256": "5e55b09692489f3aa2f9765b25bf2e2de34803d9be41064389be15cbedbb970e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.15426",
    "kind": "arxiv",
    "version": 1
  }
}