Pith Number

pith:AI7AU54A

pith:2008:AI7AU54AQPWDFKCDS66R3JLPZF

not attested not anchored not stored refs pending

Symmetry Analysis of Barotropic Potential Vorticity Equation

Alexander Bihlo, Roman O. Popovych

arxiv:0811.3008 v2 · 2008-11-18 · math-ph · math.MP · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AI7AU54AQPWDFKCDS66R3JLPZF}

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	2026-05-18T04:37:22.348009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023e0a778083ec32a84397bd1da56fc977360dede941a8091b0089c251ad2cd9

Aliases

arxiv: 0811.3008 · arxiv_version: 0811.3008v2 · doi: 10.48550/arxiv.0811.3008 · pith_short_12: AI7AU54AQPWD · pith_short_16: AI7AU54AQPWDFKCD · pith_short_8: AI7AU54A

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/AI7AU54AQPWDFKCDS66R3JLPZF \
  | 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: 023e0a778083ec32a84397bd1da56fc977360dede941a8091b0089c251ad2cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5cbcce81967dd9f0e4414252838c148500ba6604cd443ff65feec201e4e2e9",
    "cross_cats_sorted": [
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-18T22:04:30Z",
    "title_canon_sha256": "b0f59a48e1d569e9d640d10d2a1e7a888ae44989b40f50fa254049e4ce0ab8ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3008",
    "kind": "arxiv",
    "version": 2
  }
}