Pith Number

pith:BB7PIFDP

pith:2003:BB7PIFDPEJXYG2WU4TZQTQPIPW

not attested not anchored not stored refs pending

The Minimum Period of the Ehrhart Quasi-polynomial of a Rational Polytope

Kevin M. Woods, Tyrrell B. McAllister

arxiv:math/0310255 v1 · 2003-10-16 · 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{BB7PIFDPEJXYG2WU4TZQTQPIPW}

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	2026-05-18T01:05:28.574025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

087ef4146f226f836ad4e4f309c1e87db47d75b2057a366c297dd86566c4af3e

Aliases

arxiv: math/0310255 · arxiv_version: math/0310255v1 · doi: 10.48550/arxiv.math/0310255 · pith_short_12: BB7PIFDPEJXY · pith_short_16: BB7PIFDPEJXYG2WU · pith_short_8: BB7PIFDP

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/BB7PIFDPEJXYG2WU4TZQTQPIPW \
  | 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: 087ef4146f226f836ad4e4f309c1e87db47d75b2057a366c297dd86566c4af3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e41ae3029eb1b513c34b70545509e5152ae98759659b751267036eadadfc03",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-10-16T22:52:15Z",
    "title_canon_sha256": "28403e0044a7f2242781eba22e5d01a89c68c87bd80883a19acdbc110e46a05f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0310255",
    "kind": "arxiv",
    "version": 1
  }
}