Pith Number

pith:BW3KZXFU

pith:2008:BW3KZXFULSBV64K26ROBPEBKRU

not attested not anchored not stored refs pending

Rational Generating Functions and Integer Programming Games

Christopher Thomas Ryan, Matthias K\"oppe, Maurice Queyranne

arxiv:0809.0689 v1 · 2008-09-03 · cs.GT · 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{BW3KZXFULSBV64K26ROBPEBKRU}

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	2026-05-18T00:53:41.084541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db6acdcb45c835f715af45c17902a8d39013d9cee854bf8a9e1c6515e292f1f

Aliases

arxiv: 0809.0689 · arxiv_version: 0809.0689v1 · doi: 10.48550/arxiv.0809.0689 · pith_short_12: BW3KZXFULSBV · pith_short_16: BW3KZXFULSBV64K2 · pith_short_8: BW3KZXFU

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/BW3KZXFULSBV64K26ROBPEBKRU \
  | 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: 0db6acdcb45c835f715af45c17902a8d39013d9cee854bf8a9e1c6515e292f1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80aa232b375d6b84e14f5794d445b583b3e55f8e7e2606ab41016971b37f4588",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2008-09-03T19:21:22Z",
    "title_canon_sha256": "084b158287c2e34dba6dcec0276e20781f38ed47f96d0f3a6d5e3427192c9345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0689",
    "kind": "arxiv",
    "version": 1
  }
}