Pith Number

pith:YGO3VHJO

pith:2008:YGO3VHJOYJHTMLLNA2ZSNZ4DCN

not attested not anchored not stored refs pending

Volume estimates for equiangular hyperbolic Coxeter polyhedra

Christopher K. Atkinson

arxiv:0804.2682 v3 · 2008-04-16 · 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{YGO3VHJOYJHTMLLNA2ZSNZ4DCN}

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	2026-05-18T02:41:51.682566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19dba9d2ec24f362d6d06b326e7831351a00f0f69aa1f0decb5b421bbcee769

Aliases

arxiv: 0804.2682 · arxiv_version: 0804.2682v3 · doi: 10.48550/arxiv.0804.2682 · pith_short_12: YGO3VHJOYJHT · pith_short_16: YGO3VHJOYJHTMLLN · pith_short_8: YGO3VHJO

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/YGO3VHJOYJHTMLLNA2ZSNZ4DCN \
  | 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: c19dba9d2ec24f362d6d06b326e7831351a00f0f69aa1f0decb5b421bbcee769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e700138d15a123e976d6c775bffe77674f17c64c16a62c1e66ecbc76135e21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-16T23:14:46Z",
    "title_canon_sha256": "98d595400e9ff99b4e324ad41d005ff0b0fbba2f0ea3141be60f550a4fe89cb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2682",
    "kind": "arxiv",
    "version": 3
  }
}