Pith Number

pith:4JCB6YTL

pith:2008:4JCB6YTLX4AM3VPSKKF3V6YDFU

not attested not anchored not stored refs pending

From the hyperbolic 24-cell to the cuboctahedron

Peter A. Storm, Steven P. Kerckhoff

arxiv:0805.4537 v1 · 2008-05-28 · 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{4JCB6YTLX4AM3VPSKKF3V6YDFU}

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	2026-05-18T02:38:19.119007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2441f626bbf00cdd5f2528bbafb032d19ac9ad16a628af4a101251982f8c070

Aliases

arxiv: 0805.4537 · arxiv_version: 0805.4537v1 · doi: 10.48550/arxiv.0805.4537 · pith_short_12: 4JCB6YTLX4AM · pith_short_16: 4JCB6YTLX4AM3VPS · pith_short_8: 4JCB6YTL

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/4JCB6YTLX4AM3VPSKKF3V6YDFU \
  | 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: e2441f626bbf00cdd5f2528bbafb032d19ac9ad16a628af4a101251982f8c070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "017c60788bab44be7fd50a68f7918c58ea5514d635d231fead3219b4e18947bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-05-28T23:29:52Z",
    "title_canon_sha256": "576e51bcd004f6f040a2989ab68d471fa44c84943c4fd74c2d11fb771d8f77e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.4537",
    "kind": "arxiv",
    "version": 1
  }
}