Pith Number

pith:HBTOBDBS

pith:1997:HBTOBDBSDFSZ6ELOVRUHALBQ7K

not attested not anchored not stored refs pending

A Polynomial Time Algorithm for Vertex Enumeration and Optimization over Shaped Partition Polytopes

Frank K. Hwang, Shmuel Onn, Uriel G. Rothblum

arxiv:math/9704226 v1 · 1997-04-29 · 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{HBTOBDBSDFSZ6ELOVRUHALBQ7K}

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	2026-05-18T01:05:36.939874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3866e08c3219659f116eac68702c30faaf68b957af72dca6842fbe0fbfc30067

Aliases

arxiv: math/9704226 · arxiv_version: math/9704226v1 · doi: 10.48550/arxiv.math/9704226 · pith_short_12: HBTOBDBSDFSZ · pith_short_16: HBTOBDBSDFSZ6ELO · pith_short_8: HBTOBDBS

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/HBTOBDBSDFSZ6ELOVRUHALBQ7K \
  | 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: 3866e08c3219659f116eac68702c30faaf68b957af72dca6842fbe0fbfc30067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cffabd93c63c8d04f21d7b4d8856e7c6edd3825a2db1e8c2c0e2102606abca4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1997-04-29T00:00:00Z",
    "title_canon_sha256": "4e6ca23ed6c2a1caa6a4ee9846db3880213d62536b503fed3ea0a7d23fc13f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9704226",
    "kind": "arxiv",
    "version": 1
  }
}