Pith Number

pith:PQ2QUZW5

pith:2010:PQ2QUZW5Z45XLAKEPHRCUD6HC5

not attested not anchored not stored refs pending

Research Announcement: Finite-time Blow Up and Long-wave Unstable Thin Film Equations

Marina Chugunova, M.C. Pugh, Roman M. Taranets

arxiv:1008.0385 v1 · 2010-08-02 · math-ph · math.AP · 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{PQ2QUZW5Z45XLAKEPHRCUD6HC5}

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	2026-05-18T04:42:43.460082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c350a66ddcf3b75814479e22a0fc7175e5aadb9876297822351690a9eaab42b

Aliases

arxiv: 1008.0385 · arxiv_version: 1008.0385v1 · doi: 10.48550/arxiv.1008.0385 · pith_short_12: PQ2QUZW5Z45X · pith_short_16: PQ2QUZW5Z45XLAKE · pith_short_8: PQ2QUZW5

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/PQ2QUZW5Z45XLAKEPHRCUD6HC5 \
  | 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: 7c350a66ddcf3b75814479e22a0fc7175e5aadb9876297822351690a9eaab42b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2e57450c41a2dda73371d695927c25704d56b55d5ff7db27d7b57f840820579",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-02T19:32:53Z",
    "title_canon_sha256": "248252e20260a83dbdab8e947f99b36d7074c4657a5ec78d6a2e9a5d0f67ab5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0385",
    "kind": "arxiv",
    "version": 1
  }
}