Pith Number

pith:FKVVDZ5Q

pith:2015:FKVVDZ5QSMTYYJRE4MYTCBNBJ5

not attested not anchored not stored refs pending

Quantum jumps of normal polytopes

Joseph Gubeladze, Mateusz Micha{\l}ek, Winfried Bruns

arxiv:1504.01036 v2 · 2015-04-04 · math.CO · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FKVVDZ5QSMTYYJRE4MYTCBNBJ5}

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	2026-05-18T01:20:17.265078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aab51e7b093278c2624e3313105a14f4def9bd2697346effd9b7bec56dbf97f

Aliases

arxiv: 1504.01036 · arxiv_version: 1504.01036v2 · doi: 10.48550/arxiv.1504.01036 · pith_short_12: FKVVDZ5QSMTY · pith_short_16: FKVVDZ5QSMTYYJRE · pith_short_8: FKVVDZ5Q

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/FKVVDZ5QSMTYYJRE4MYTCBNBJ5 \
  | 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: 2aab51e7b093278c2624e3313105a14f4def9bd2697346effd9b7bec56dbf97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6597c6509d554815002162bcd8f8034f23e68c67f82c794bc0a352a7a43ccf02",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-04T18:34:12Z",
    "title_canon_sha256": "a72ae9ace866bebdf54dbb9c4d6acfae01c26dd2933f5021f5f2e3a3a4e08ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01036",
    "kind": "arxiv",
    "version": 2
  }
}