Pith Number

pith:NYEOUPK7

pith:2021:NYEOUPK7MST7PNVDZNBLXYDTUY

not attested not anchored not stored refs pending

A spatially adaptive phase-field model of fracture

Dhananjay Phansalkar, Kerstin Weinberg, Michael Ortiz, Sigrid Leyendecker

arxiv:2109.10175 v1 · 2021-09-21 · cs.CE · cs.NA · 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{NYEOUPK7MST7PNVDZNBLXYDTUY}

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	2026-07-05T04:27:45.739206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e08ea3d5f64a7f7b6a3cb42bbe073a621d8d1e5645ce9b05333cf47aef2c15d

Aliases

arxiv: 2109.10175 · arxiv_version: 2109.10175v1 · doi: 10.48550/arxiv.2109.10175 · pith_short_12: NYEOUPK7MST7 · pith_short_16: NYEOUPK7MST7PNVD · pith_short_8: NYEOUPK7

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/NYEOUPK7MST7PNVDZNBLXYDTUY \
  | 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: 6e08ea3d5f64a7f7b6a3cb42bbe073a621d8d1e5645ce9b05333cf47aef2c15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8f50dcf7c7c8403672a25e52c61b384830ed068be11592657831e8b8c5b611",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2021-09-21T13:47:56Z",
    "title_canon_sha256": "91363cd74bcdb732fdc4bf0d50dfe2c6ff519521a4399a5df9cf87808df61b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10175",
    "kind": "arxiv",
    "version": 1
  }
}