Pith Number

pith:CTXP3VS4

pith:2012:CTXP3VS4KHQ5FBWQMCBCYF3KAI

not attested not anchored not stored refs pending

On the sum of the Voronoi polytope of a lattice with a zonotope

Alexander Magazinov, Mathieu Dutour Sikiric, Viatcheslav Grishukhin

arxiv:1209.4652 v2 · 2012-09-20 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTXP3VS4KHQ5FBWQMCBCYF3KAI}

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	2026-05-18T02:55:27.799627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14eefdd65c51e1d286d060822c176a0228f28b17d019f537868e2ab847da8350

Aliases

arxiv: 1209.4652 · arxiv_version: 1209.4652v2 · doi: 10.48550/arxiv.1209.4652 · pith_short_12: CTXP3VS4KHQ5 · pith_short_16: CTXP3VS4KHQ5FBWQ · pith_short_8: CTXP3VS4

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/CTXP3VS4KHQ5FBWQMCBCYF3KAI \
  | 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: 14eefdd65c51e1d286d060822c176a0228f28b17d019f537868e2ab847da8350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc957eb4933adc45a30985c35ed197a045ecbeefe4489b3b824b1b95292293da",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-20T20:00:59Z",
    "title_canon_sha256": "3cfc951fc95c4c7b87e961dc86a819887e557686e20fcc7f9355d37fa3b2bfe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4652",
    "kind": "arxiv",
    "version": 2
  }
}