Pith Number

pith:TFTSY2OT

pith:1992:TFTSY2OTUQS7DUYWMTGOUB3EWY

not attested not anchored not stored refs pending

A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere

Craig D. Hodgson, Igor Rivin, Warren D. Smith

arxiv:math/9210218 v1 · 1992-10-01 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFTSY2OTUQS7DUYWMTGOUB3EWY}

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	2026-05-18T01:05:52.524892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99672c69d3a425f1d31664ccea0764b61f2e9abf42c04114795e9d6edbcd1ee2

Aliases

arxiv: math/9210218 · arxiv_version: math/9210218v1 · doi: 10.48550/arxiv.math/9210218 · pith_short_12: TFTSY2OTUQS7 · pith_short_16: TFTSY2OTUQS7DUYW · pith_short_8: TFTSY2OT

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/TFTSY2OTUQS7DUYWMTGOUB3EWY \
  | 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: 99672c69d3a425f1d31664ccea0764b61f2e9abf42c04114795e9d6edbcd1ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b57b8712df872982d4b49ce304cd6e5b37fc9ae793e9690293766b1fde874e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "1992-10-01T00:00:00Z",
    "title_canon_sha256": "66b4d8f59e104edb185ff4d970132ed6220311f53cf6ef108a3dbea8cb86ca68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9210218",
    "kind": "arxiv",
    "version": 1
  }
}