Pith Number

pith:5HGFU6SP

pith:2012:5HGFU6SPI5S6HQA2KOZA2BQNEP

not attested not anchored not stored refs pending

Non-integrability of geodesic flow on certain algebraic surfaces

Thomas Waters

arxiv:1203.2462 v1 · 2012-03-12 · math.DS · math.DG · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HGFU6SPI5S6HQA2KOZA2BQNEP}

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	2026-05-18T01:58:10.050354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9cc5a7a4f4765e3c01a53b20d060d23d30281b49dbcaf166620efa5289d197b

Aliases

arxiv: 1203.2462 · arxiv_version: 1203.2462v1 · doi: 10.48550/arxiv.1203.2462 · pith_short_12: 5HGFU6SPI5S6 · pith_short_16: 5HGFU6SPI5S6HQA2 · pith_short_8: 5HGFU6SP

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/5HGFU6SPI5S6HQA2KOZA2BQNEP \
  | 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: e9cc5a7a4f4765e3c01a53b20d060d23d30281b49dbcaf166620efa5289d197b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6706d2e3bd0656f235b7f9d66a760dbd2bc869fc855508e7dac7ebc7f8792329",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-12T12:03:12Z",
    "title_canon_sha256": "e9dc4457a58d51bd7dba6c842d4025f53582b2ac6fcd78b748c8267dac82fd9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2462",
    "kind": "arxiv",
    "version": 1
  }
}