Pith Number

pith:62BDC6RO

pith:2021:62BDC6RODTMHYZ4FPGWJ2OHFWW

not attested not anchored not stored refs pending

Phase field models for thermal fracturing and their variational structures

Alifian. M. M, M. Kimura, S. Alfat

arxiv:2110.08043 v1 · 2021-10-12 · math.AP · 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{62BDC6RODTMHYZ4FPGWJ2OHFWW}

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	2026-07-05T04:13:44.113374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f682317a2e1cd87c678579ac9d38e5b59907f3f3e8dc1ba6ffff1f6fca394dfd

Aliases

arxiv: 2110.08043 · arxiv_version: 2110.08043v1 · doi: 10.48550/arxiv.2110.08043 · pith_short_12: 62BDC6RODTMH · pith_short_16: 62BDC6RODTMHYZ4F · pith_short_8: 62BDC6RO

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/62BDC6RODTMHYZ4FPGWJ2OHFWW \
  | 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: f682317a2e1cd87c678579ac9d38e5b59907f3f3e8dc1ba6ffff1f6fca394dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a404bca0ca75de7a07a99eb4ebd035d7cac359500d1a002efa1065f6791874",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-12T22:39:03Z",
    "title_canon_sha256": "7cd772cfada53fb6da9475bb31cdb70fcbec98988294b1052dc8d31d6ae3cf2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.08043",
    "kind": "arxiv",
    "version": 1
  }
}