Pith Number

pith:JOKVFMSW

pith:2012:JOKVFMSWPOTKYO6XENRWPSWIEX

not attested not anchored not stored refs pending

Genus one Birkhoff sections for geodesic flows

Pierre Dehornoy

arxiv:1208.6405 v2 · 2012-08-31 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOKVFMSWPOTKYO6XENRWPSWIEX}

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	2026-05-18T01:35:57.688015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9552b2567ba6ac3bd7236367cac825ddd1ba6d9009eec35f6f7eaa5308d489

Aliases

arxiv: 1208.6405 · arxiv_version: 1208.6405v2 · doi: 10.48550/arxiv.1208.6405 · pith_short_12: JOKVFMSWPOTK · pith_short_16: JOKVFMSWPOTKYO6X · pith_short_8: JOKVFMSW

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/JOKVFMSWPOTKYO6XENRWPSWIEX \
  | 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: 4b9552b2567ba6ac3bd7236367cac825ddd1ba6d9009eec35f6f7eaa5308d489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa969121bd19f019ec0aae8bbe3829806d5f7d8cfb28f81d6101755e9fcb0d52",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-31T06:47:07Z",
    "title_canon_sha256": "bf7498623eaf185201eb1dffb4482e35bcf83bed5f1f9f7054bb2138601e6987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6405",
    "kind": "arxiv",
    "version": 2
  }
}