Pith Number

pith:KF5YKEGF

pith:2012:KF5YKEGFPDAS6LHHAG33VDFKUH

not attested not anchored not stored refs pending

Integer Points in Knapsack Polytopes and s-covering Radius

Eva Linke, Iskander Aliev, Martin Henk

arxiv:1211.3269 v1 · 2012-11-14 · math.CO · math.NT · 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{KF5YKEGFPDAS6LHHAG33VDFKUH}

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	2026-05-18T03:40:50.402221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517b8510c578c12f2ce701b7ba8caaa1f5f7bf18ff8e06ba4d98340ea6ab8da7

Aliases

arxiv: 1211.3269 · arxiv_version: 1211.3269v1 · doi: 10.48550/arxiv.1211.3269 · pith_short_12: KF5YKEGFPDAS · pith_short_16: KF5YKEGFPDAS6LHH · pith_short_8: KF5YKEGF

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/KF5YKEGFPDAS6LHHAG33VDFKUH \
  | 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: 517b8510c578c12f2ce701b7ba8caaa1f5f7bf18ff8e06ba4d98340ea6ab8da7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff9469a580d5680aa0b8ffe53b2c58be7f878e96e5871c214001976e3186dc0",
    "cross_cats_sorted": [
      "math.NT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-14T10:52:09Z",
    "title_canon_sha256": "efd2d412635c25db15de439666ff02fd86c917fbe6efc431eee53aa60bd83e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3269",
    "kind": "arxiv",
    "version": 1
  }
}