Pith Number

pith:XAXHAOL6

pith:2013:XAXHAOL6OBUJWKYKGS36ITZGCD

not attested not anchored not stored refs pending

Normal forms of convex lattice polytopes

Alexander Kasprzyk, Roland Grinis

arxiv:1301.6641 v1 · 2013-01-28 · 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{XAXHAOL6OBUJWKYKGS36ITZGCD}

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.

Cited by

1 paper in Pith

Fano and Reflexive Polytopes from Feynman Integrals

Receipt and verification

First computed	2026-05-18T03:35:14.783334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b82e70397e70689b2b0a34b7e44f2610fadbc24fe7dd803294bdfae3ebddb977

Aliases

arxiv: 1301.6641 · arxiv_version: 1301.6641v1 · doi: 10.48550/arxiv.1301.6641 · pith_short_12: XAXHAOL6OBUJ · pith_short_16: XAXHAOL6OBUJWKYK · pith_short_8: XAXHAOL6

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/XAXHAOL6OBUJWKYKGS36ITZGCD \
  | 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: b82e70397e70689b2b0a34b7e44f2610fadbc24fe7dd803294bdfae3ebddb977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1287127aa101783e8a1e03523e500258522b05d9848a70fe8b41aa46a5283a96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-28T18:46:55Z",
    "title_canon_sha256": "8c2c22828398ec99ca19eac3667ec1980a93aeaba4ec9431f3e8f7897c1ec173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6641",
    "kind": "arxiv",
    "version": 1
  }
}