Pith Number

pith:3HZY62S6

pith:2001:3HZY62S66FY3UYO4SRKKPJVQD3

not attested not anchored not stored refs pending

Algorithmic detection and description of hyperbolic structures on closed 3-manifolds with solvable word problem

Jason Manning

arxiv:math/0102154 v2 · 2001-02-19 · 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{3HZY62S66FY3UYO4SRKKPJVQD3}

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	2026-05-18T02:38:00.861151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f38f6a5ef171ba61dc9454a7a6b01efb19a680f5647ece75bf6f22dcd6193f

Aliases

arxiv: math/0102154 · arxiv_version: math/0102154v2 · doi: 10.48550/arxiv.math/0102154 · pith_short_12: 3HZY62S66FY3 · pith_short_16: 3HZY62S66FY3UYO4 · pith_short_8: 3HZY62S6

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/3HZY62S66FY3UYO4SRKKPJVQD3 \
  | 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: d9f38f6a5ef171ba61dc9454a7a6b01efb19a680f5647ece75bf6f22dcd6193f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf33b72c19787327af2b5e263d06362fdc77e77efd1b50b75ba0c06dfebae1e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-02-19T23:19:44Z",
    "title_canon_sha256": "546bed743a9b8a6474653b962022413b46398e9fdafd13ea91f21fab0c8d11a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102154",
    "kind": "arxiv",
    "version": 2
  }
}