Pith Number

pith:23TOLDHM

pith:2002:23TOLDHM2HKP4UFCHCWPANIS4H

not attested not anchored not stored refs pending

Regenerating hyperbolic cone structures from Nil

Joan Porti

arxiv:math/0212298 v1 · 2002-12-20 · 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{23TOLDHM2HKP4UFCHCWPANIS4H}

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	2026-05-18T02:38:00.500974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6e6e58cecd1d4fe50a238acf03512e1c3133333e92c3713325202e9cbcc1779

Aliases

arxiv: math/0212298 · arxiv_version: math/0212298v1 · doi: 10.48550/arxiv.math/0212298 · pith_short_12: 23TOLDHM2HKP · pith_short_16: 23TOLDHM2HKP4UFC · pith_short_8: 23TOLDHM

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/23TOLDHM2HKP4UFCHCWPANIS4H \
  | 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: d6e6e58cecd1d4fe50a238acf03512e1c3133333e92c3713325202e9cbcc1779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0007c9693ac829c52b43f20513c9e8a2e479104afde80cbec77cc6149e5eacdd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-12-20T21:48:59Z",
    "title_canon_sha256": "b46ee21702e0dbc1682ee9acbf90dce7413aa2a223f54a824889da09fd0999e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212298",
    "kind": "arxiv",
    "version": 1
  }
}