Pith Number

pith:WOBLYLU7

pith:2004:WOBLYLU7SXWREIA6UQHRHZOZ5U

not attested not anchored not stored refs pending

Computing the period of an Ehrhart quasi-polynomial

Kevin M. Woods

arxiv:math/0411207 v1 · 2004-11-09 · 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{WOBLYLU7SXWREIA6UQHRHZOZ5U}

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	2026-05-18T02:16:39.607155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b382bc2e9f95ed12201ea40f13e5d9ed327d5ed9ca5a624f99e899317bde444f

Aliases

arxiv: math/0411207 · arxiv_version: math/0411207v1 · doi: 10.48550/arxiv.math/0411207 · pith_short_12: WOBLYLU7SXWR · pith_short_16: WOBLYLU7SXWREIA6 · pith_short_8: WOBLYLU7

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/WOBLYLU7SXWREIA6UQHRHZOZ5U \
  | 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: b382bc2e9f95ed12201ea40f13e5d9ed327d5ed9ca5a624f99e899317bde444f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33dc274a6c923e6287dc8052125da4273c4b54619587e45cb9d2d08171d900fe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-11-09T17:55:30Z",
    "title_canon_sha256": "42157dbd1714e3cffe298f70071a920a58c8965b1b6189a314ab559769d074f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411207",
    "kind": "arxiv",
    "version": 1
  }
}