Pith Number

pith:U7UCUIJG

pith:2009:U7UCUIJGCZ4DELWRWKYJQP6SXW

not attested not anchored not stored refs pending

A parametric integer programming algorithm for bilevel mixed integer programs

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

arxiv:0907.1298 v2 · 2009-07-07 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7UCUIJGCZ4DELWRWKYJQP6SXW}

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	2026-05-18T00:53:41.063198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e82a21261678322ed1b2b0983fd2bdb39e6dd924cd6a23de6ca3b8e2179f8c

Aliases

arxiv: 0907.1298 · arxiv_version: 0907.1298v2 · doi: 10.48550/arxiv.0907.1298 · pith_short_12: U7UCUIJGCZ4D · pith_short_16: U7UCUIJGCZ4DELWR · pith_short_8: U7UCUIJG

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/U7UCUIJGCZ4DELWRWKYJQP6SXW \
  | 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: a7e82a21261678322ed1b2b0983fd2bdb39e6dd924cd6a23de6ca3b8e2179f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8c2b4d6d6b645258aec2bebbea9bbe661091b293410cc30587f1edf77d5346",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-07-07T20:51:23Z",
    "title_canon_sha256": "452109f3cf2767538c4f9b4dfefbd71c7b95e71d739f83ff52237bb4167a8447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1298",
    "kind": "arxiv",
    "version": 2
  }
}