Pith Number

pith:TNYP7R7T

pith:2019:TNYP7R7T2NVIE2SI4YCAR3KJ7P

not attested not anchored not stored refs pending

An algorithm for the optimal solution of variable knockout problems

J.E. Beasley

arxiv:1908.02031 v5 · 2019-08-06 · 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{TNYP7R7T2NVIE2SI4YCAR3KJ7P}

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	2026-07-05T07:04:07.943579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b70ffc7f3d36a826a48e60408ed49fbca85d62835dad7d5749cdc78a4cbed3d

Aliases

arxiv: 1908.02031 · arxiv_version: 1908.02031v5 · doi: 10.48550/arxiv.1908.02031 · pith_short_12: TNYP7R7T2NVI · pith_short_16: TNYP7R7T2NVIE2SI · pith_short_8: TNYP7R7T

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/TNYP7R7T2NVIE2SI4YCAR3KJ7P \
  | 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: 9b70ffc7f3d36a826a48e60408ed49fbca85d62835dad7d5749cdc78a4cbed3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56018e0197ef97e2b3ce2e348f41a4acd7209ed0eca4a5139a811c0a26bbb0f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-06T09:12:45Z",
    "title_canon_sha256": "adbc4c95e23365ce00cc5ca581bc15884353bb68fdd077927e6a9e6c60328e05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02031",
    "kind": "arxiv",
    "version": 5
  }
}