Pith Number

pith:G25NTWVG

pith:2012:G25NTWVGRAIQA222YWITBNABNC

not attested not anchored not stored refs pending

Finite Time Blow-up of a 3D Model for Incompressible Euler Equations

Thomas Y. Hou, Zhen Lei

arxiv:1203.5151 v2 · 2012-03-23 · 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{G25NTWVGRAIQA222YWITBNABNC}

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	2026-05-18T03:57:40.167985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36bad9daa68811006b5ac59130b401688696685f4bc8d8641da26eb0dd5b8675

Aliases

arxiv: 1203.5151 · arxiv_version: 1203.5151v2 · doi: 10.48550/arxiv.1203.5151 · pith_short_12: G25NTWVGRAIQ · pith_short_16: G25NTWVGRAIQA222 · pith_short_8: G25NTWVG

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/G25NTWVGRAIQA222YWITBNABNC \
  | 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: 36bad9daa68811006b5ac59130b401688696685f4bc8d8641da26eb0dd5b8675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65894793fcc5e3ccfd7768df5f933a06a1d5ae63384deedc8f6aeaa232a4397d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-23T01:47:06Z",
    "title_canon_sha256": "5f8937e4bac41d7989e4c3a3e421479267615c135457bd06d37001875b2fb0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5151",
    "kind": "arxiv",
    "version": 2
  }
}