Pith Number

pith:5CAD7TFS

pith:2012:5CAD7TFS7RDZMP7W4UPAONV65W

not attested not anchored not stored refs pending

Prising apart geodesics by length in hyperbolic 3-manifolds

James W. Anderson

arxiv:1202.0905 v3 · 2012-02-04 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CAD7TFS7RDZMP7W4UPAONV65W}

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	2026-05-18T02:17:12.738477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8803fccb2fc47963ff6e51e0736beeda82c78953f76260f72841ed7eab01f4d

Aliases

arxiv: 1202.0905 · arxiv_version: 1202.0905v3 · doi: 10.48550/arxiv.1202.0905 · pith_short_12: 5CAD7TFS7RDZ · pith_short_16: 5CAD7TFS7RDZMP7W · pith_short_8: 5CAD7TFS

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/5CAD7TFS7RDZMP7W4UPAONV65W \
  | 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: e8803fccb2fc47963ff6e51e0736beeda82c78953f76260f72841ed7eab01f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4a24bd1356755dcd4cc3c83a18aee49cb859fd09da127e283db81327dea37e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-04T16:24:03Z",
    "title_canon_sha256": "dacb54bdd2029d770fb7afc8784801fce856c3a1ff405673c02f618c3bcd775b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0905",
    "kind": "arxiv",
    "version": 3
  }
}