Pith Number

pith:Q76S2KS6

pith:2003:Q76S2KS6IDCONRU2LBN32QT7KB

not attested not anchored not stored refs pending

23040 symmetries of hyperbolic tetrahedra

Gregory Leibon, Peter Doyle

arxiv:math/0309187 v1 · 2003-09-10 · math.GT · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q76S2KS6IDCONRU2LBN32QT7KB}

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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.

Cited by

1 paper in Pith

Rational Elliptic Surfaces and the Trigonometry of Tetrahedra

Receipt and verification

First computed	2026-07-04T14:37:42.840882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fd2d2a5e40c4e6c69a585bbd427f504eff47bda7dff5e1769a3917bff05165

Aliases

arxiv: math/0309187 · arxiv_version: math/0309187v1 · doi: 10.48550/arxiv.math/0309187 · pith_short_12: Q76S2KS6IDCO · pith_short_16: Q76S2KS6IDCONRU2 · pith_short_8: Q76S2KS6

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/Q76S2KS6IDCONRU2LBN32QT7KB \
  | 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: 87fd2d2a5e40c4e6c69a585bbd427f504eff47bda7dff5e1769a3917bff05165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e34b200045111c481a0361e2eeec5ce535a64f8f9074eb9cfbde135794ed45e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-09-10T18:58:26Z",
    "title_canon_sha256": "9fd9b5bfffc74aa2cd9826e369da6fff02e7aadcefc7b3a1682e23603a0b86ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309187",
    "kind": "arxiv",
    "version": 1
  }
}