Pith Number

pith:PTATWGUD

pith:2012:PTATWGUDT2KVJUTGKIWBSPMR26

not attested not anchored not stored refs pending

Regularization of point vortices for the Euler equation in dimension two

Daomin Cao, Juncheng Wei, Zhongyuan Liu

arxiv:1208.3002 v3 · 2012-08-15 · math.AP · 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{PTATWGUDT2KVJUTGKIWBSPMR26}

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	2026-05-18T01:55:15.860038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc13b1a839e9554d266522c193d91d7ad2b940fee67ede01390b3399e79fb3d

Aliases

arxiv: 1208.3002 · arxiv_version: 1208.3002v3 · doi: 10.48550/arxiv.1208.3002 · pith_short_12: PTATWGUDT2KV · pith_short_16: PTATWGUDT2KVJUTG · pith_short_8: PTATWGUD

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/PTATWGUDT2KVJUTGKIWBSPMR26 \
  | 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: 7cc13b1a839e9554d266522c193d91d7ad2b940fee67ede01390b3399e79fb3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e97212ffd5377df9e751b0adf534f7b2a57b63b9cd2678c0a1fa90ee57db3f13",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-15T01:00:54Z",
    "title_canon_sha256": "35614e497a1b4d6788fdad377cb9414fd0f374c5f895c5e0127ed2509d3d9c86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3002",
    "kind": "arxiv",
    "version": 3
  }
}