Pith Number

pith:AG4PVD6W

pith:2013:AG4PVD6WC6BAK3ILG5AICEC6ZD

not attested not anchored not stored refs pending

Maximizing the number of independent sets of a fixed size

Benny Sudakov, Po-Shen Loh, Wenying Gan

arxiv:1311.4147 v2 · 2013-11-17 · 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{AG4PVD6WC6BAK3ILG5AICEC6ZD}

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	2026-05-17T23:53:35.221970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01b8fa8fd61782056d0b374081105ec8ef7ca94189ab6deefbbf3a30da65e2e0

Aliases

arxiv: 1311.4147 · arxiv_version: 1311.4147v2 · doi: 10.48550/arxiv.1311.4147 · pith_short_12: AG4PVD6WC6BA · pith_short_16: AG4PVD6WC6BAK3IL · pith_short_8: AG4PVD6W

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/AG4PVD6WC6BAK3ILG5AICEC6ZD \
  | 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: 01b8fa8fd61782056d0b374081105ec8ef7ca94189ab6deefbbf3a30da65e2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "800237987bbfed963ff187271a9c5805d7389134d85fc8af01d62e6518d2a918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-17T11:25:23Z",
    "title_canon_sha256": "48b7f54b68b452daf6614c2e9e5779ed6b8ffd75898ff42ea4205031ff59f748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4147",
    "kind": "arxiv",
    "version": 2
  }
}