Pith Number

pith:EZNKRKZI

pith:2012:EZNKRKZIDVMACYPG3FSMMIPHC2

not attested not anchored not stored refs pending

On the optimality of the ideal right-angled 24-cell

Alexander Kolpakov

arxiv:1211.2944 v2 · 2012-11-13 · math.MG · math.CO · 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{EZNKRKZIDVMACYPG3FSMMIPHC2}

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	2026-05-18T03:40:48.852791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265aa8ab281d580161e6d964c621e71695127c62f7d9240b6d02c6b5e07e2d17

Aliases

arxiv: 1211.2944 · arxiv_version: 1211.2944v2 · doi: 10.48550/arxiv.1211.2944 · pith_short_12: EZNKRKZIDVMA · pith_short_16: EZNKRKZIDVMACYPG · pith_short_8: EZNKRKZI

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/EZNKRKZIDVMACYPG3FSMMIPHC2 \
  | 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: 265aa8ab281d580161e6d964c621e71695127c62f7d9240b6d02c6b5e07e2d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b868add65121e3e725c83998ad11a43e797d2f12e40c28abfa7c9e9450e7ceda",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-11-13T10:24:35Z",
    "title_canon_sha256": "4adacd196eafb26bda7ff673dc672289067198e19ec444812b4983de4a239b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2944",
    "kind": "arxiv",
    "version": 2
  }
}