Pith Number

pith:S7LE3BMW

pith:1992:S7LE3BMWDVUTHWMX3CYRCIXPNY

not attested not anchored not stored refs pending

Riemann surfaces and the geometrization of 3-manifolds

Curt McMullen

arxiv:math/9210224 v1 · 1992-10-01 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7LE3BMWDVUTHWMX3CYRCIXPNY}

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	2026-05-18T01:05:52.495478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97d64d85961d6933d997d8b11122ef6e3024f9664e51449155e4ffe1890abd9b

Aliases

arxiv: math/9210224 · arxiv_version: math/9210224v1 · doi: 10.48550/arxiv.math/9210224 · pith_short_12: S7LE3BMWDVUT · pith_short_16: S7LE3BMWDVUTHWMX · pith_short_8: S7LE3BMW

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/S7LE3BMWDVUTHWMX3CYRCIXPNY \
  | 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: 97d64d85961d6933d997d8b11122ef6e3024f9664e51449155e4ffe1890abd9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de10031d7e8a016ce209c8c0793c839cf344c88a5df50b68c9f0f739df2e8eb",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1992-10-01T00:00:00Z",
    "title_canon_sha256": "28951aa2a4f253b898177759c5196dce9b405e282432cd19150d522c6ad26f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9210224",
    "kind": "arxiv",
    "version": 1
  }
}