Pith Number

pith:UOKJSZBO

pith:2013:UOKJSZBOVDQR5Y53KIUSAKNRAP

not attested not anchored not stored refs pending

Hyperbolic manifolds of small volume

Mikhail Belolipetsky, Vincent Emery

arxiv:1310.2270 v1 · 2013-10-08 · math.MG · 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{UOKJSZBOVDQR5Y53KIUSAKNRAP}

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	2026-05-18T02:19:25.793910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a39499642ea8e11ee3bb52292029b103f2e345d1dc149a2de155f70463967431

Aliases

arxiv: 1310.2270 · arxiv_version: 1310.2270v1 · doi: 10.48550/arxiv.1310.2270 · pith_short_12: UOKJSZBOVDQR · pith_short_16: UOKJSZBOVDQR5Y53 · pith_short_8: UOKJSZBO

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/UOKJSZBOVDQR5Y53KIUSAKNRAP \
  | 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: a39499642ea8e11ee3bb52292029b103f2e345d1dc149a2de155f70463967431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b5856ad719f6ea9c022b5c685763931e12e555256fbb3d34ee1201a04301061",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-10-08T20:26:38Z",
    "title_canon_sha256": "6d8b4bd9ed19db2babe9355e5f439911817318c79c63e01908aa3d76205fcb03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2270",
    "kind": "arxiv",
    "version": 1
  }
}