Pith Number

pith:RM4LX2E7

pith:2013:RM4LX2E7PYB6UX4M3SJ2K5HZUX

not attested not anchored not stored refs pending

1-efficient triangulations and the index of a cusped hyperbolic 3-manifold

Craig D. Hodgson, Henry Segerman, J. Hyam Rubinstein, Stavros Garoufalidis

arxiv:1303.5278 v1 · 2013-03-21 · 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{RM4LX2E7PYB6UX4M3SJ2K5HZUX}

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	2026-05-18T01:22:25.560225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b38bbe89f7e03ea5f8cdc93a574f9a5f1497aa08d4ea4c9b0cce095f7e005f9

Aliases

arxiv: 1303.5278 · arxiv_version: 1303.5278v1 · doi: 10.48550/arxiv.1303.5278 · pith_short_12: RM4LX2E7PYB6 · pith_short_16: RM4LX2E7PYB6UX4M · pith_short_8: RM4LX2E7

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/RM4LX2E7PYB6UX4M3SJ2K5HZUX \
  | 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: 8b38bbe89f7e03ea5f8cdc93a574f9a5f1497aa08d4ea4c9b0cce095f7e005f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a6d5f8f9e2ddff2696b3846c9ce76b08c9c7f72bf7a0628c50d053722a0f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-21T14:58:31Z",
    "title_canon_sha256": "4c111a0eeeee5befff28fc9091e45f7eac5a01b4073845c36d9db3d7237cd5b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5278",
    "kind": "arxiv",
    "version": 1
  }
}