Pith Number

pith:TJFY7ZH3

pith:2014:TJFY7ZH3HYLWITIFST4RMZ5HH6

not attested not anchored not stored refs pending

Self-similar solutions for a fractional thin film equation governing hydraulic fractures

Antoine Mellet, Cyril Imbert (LAMA)

arxiv:1403.7491 v2 · 2014-03-28 · 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{TJFY7ZH3HYLWITIFST4RMZ5HH6}

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	2026-05-18T01:23:29.868562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4b8fe4fb3e17644d0594f91667a73fb4aa9d054b892111de5a0186c392e8b4

Aliases

arxiv: 1403.7491 · arxiv_version: 1403.7491v2 · doi: 10.48550/arxiv.1403.7491 · pith_short_12: TJFY7ZH3HYLW · pith_short_16: TJFY7ZH3HYLWITIF · pith_short_8: TJFY7ZH3

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/TJFY7ZH3HYLWITIFST4RMZ5HH6 \
  | 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: 9a4b8fe4fb3e17644d0594f91667a73fb4aa9d054b892111de5a0186c392e8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "548f242731ef059fa3c43afd93b111463a510f0035ac48ee43449bff1fe69fc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-28T19:11:31Z",
    "title_canon_sha256": "7e36a71901281cec66822b3b7063d03fe3d7aaa27864dd1b39b25aab4c15c116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7491",
    "kind": "arxiv",
    "version": 2
  }
}