Pith Number

pith:6HAIHIMU

pith:2004:6HAIHIMU2ONHOUF3OIGAC43NBD

not attested not anchored not stored refs pending

Geometric properties and non-blowup of 3-D incompressible Euler flow

Jian Deng, Thomas Y. Hou, Xinwei Yu

arxiv:math-ph/0402032 v1 · 2004-02-12 · math-ph · 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{6HAIHIMU2ONHOUF3OIGAC43NBD}

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	2026-07-04T14:33:59.478018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1c083a194d39a7750bb720c01736d08cdfbd727791967164b0d3c15c1ee7632

Aliases

arxiv: math-ph/0402032 · arxiv_version: math-ph/0402032v1 · doi: 10.48550/arxiv.math-ph/0402032 · pith_short_12: 6HAIHIMU2ONH · pith_short_16: 6HAIHIMU2ONHOUF3 · pith_short_8: 6HAIHIMU

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/6HAIHIMU2ONHOUF3OIGAC43NBD \
  | 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: f1c083a194d39a7750bb720c01736d08cdfbd727791967164b0d3c15c1ee7632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c969e7eb85b20db57c58c2bad8d06e98798ec077b7727cbca2f5e2d82c41b8d0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-02-12T21:25:39Z",
    "title_canon_sha256": "d78fc5ae9b4b5f7d281b109da44b1985c66fbbecc31470f886caf758d83a7bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0402032",
    "kind": "arxiv",
    "version": 1
  }
}