Pith Number

pith:5NMPDULQ

pith:2012:5NMPDULQK7DRFLT54SQ2QY4WJM

not attested not anchored not stored refs pending

On the number of hyperbolic 3-manifolds of a given volume

Craig Hodgson, Hidetoshi Masai

arxiv:1203.6551 v1 · 2012-03-29 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NMPDULQK7DRFLT54SQ2QY4WJM}

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	2026-05-18T03:59:02.201127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb58f1d17057c712ae7de4a1a863964b381bf0532c5e950323c8e9a0b9503c04

Aliases

arxiv: 1203.6551 · arxiv_version: 1203.6551v1 · doi: 10.48550/arxiv.1203.6551 · pith_short_12: 5NMPDULQK7DR · pith_short_16: 5NMPDULQK7DRFLT5 · pith_short_8: 5NMPDULQ

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/5NMPDULQK7DRFLT54SQ2QY4WJM \
  | 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: eb58f1d17057c712ae7de4a1a863964b381bf0532c5e950323c8e9a0b9503c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3063b41774e5520fde68c653124a0b330bcc1e7f06555871f001fbb8cecde5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-29T15:06:17Z",
    "title_canon_sha256": "c9743e9f27ffa7b42284c68b78fb45435461ad4a7cef30679c93a989334ef7e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6551",
    "kind": "arxiv",
    "version": 1
  }
}