Pith Number

pith:4BMIAJDW

pith:2009:4BMIAJDWRNERBDZWYYBINIS5IF

not attested not anchored not stored refs pending

Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta

Vladimir S. Matveev

arxiv:0911.3521 v2 · 2009-11-18 · math.DG · 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{4BMIAJDWRNERBDZWYYBINIS5IF}

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	2026-05-18T04:38:58.258866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0588024768b49108f36c60286a25d417ab7bccba7e0ab419d3780b1cec3f230

Aliases

arxiv: 0911.3521 · arxiv_version: 0911.3521v2 · doi: 10.48550/arxiv.0911.3521 · pith_short_12: 4BMIAJDWRNER · pith_short_16: 4BMIAJDWRNERBDZW · pith_short_8: 4BMIAJDW

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/4BMIAJDWRNERBDZWYYBINIS5IF \
  | 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: e0588024768b49108f36c60286a25d417ab7bccba7e0ab419d3780b1cec3f230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0957dcba07502cfc65d368849938fc0f73f5f200141c3b0d4a1f29ced1f8cd48",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-18T12:35:55Z",
    "title_canon_sha256": "c0f390fbe46b5ae39968c8eabf5f6659edd1131911f95245402de867440b6334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3521",
    "kind": "arxiv",
    "version": 2
  }
}