Pith Number

pith:X6O43OVI

pith:2012:X6O43OVITULMHOOKHRSAMCBNBU

not attested not anchored not stored refs pending

Character varieties of once-punctured torus bundles with tunnel number one

Kathleen L. Petersen, Kenneth L. Baker

arxiv:1211.4479 v1 · 2012-11-19 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6O43OVITULMHOOKHRSAMCBNBU}

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	2026-05-18T03:40:26.760188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf9dcdbaa89d16c3b9ca3c6406082d0d1451f54db21f72050290553f7ef8c960

Aliases

arxiv: 1211.4479 · arxiv_version: 1211.4479v1 · doi: 10.48550/arxiv.1211.4479 · pith_short_12: X6O43OVITULM · pith_short_16: X6O43OVITULMHOOK · pith_short_8: X6O43OVI

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/X6O43OVITULMHOOKHRSAMCBNBU \
  | 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: bf9dcdbaa89d16c3b9ca3c6406082d0d1451f54db21f72050290553f7ef8c960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf91e0c539583b330f7fe7bcf506f6a7e8f740165a3a9c4096e64ec4c288a69",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-19T16:07:41Z",
    "title_canon_sha256": "a68b886ef47a2c20c42cc68f9f8cb8c7b3db4b9dbbe559bcd2fc0e3311a9a206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4479",
    "kind": "arxiv",
    "version": 1
  }
}