Pith Number

pith:B2FIFYY3

pith:2015:B2FIFYY3POR5RWSTCNEBTTAXPU

not attested not anchored not stored refs pending

The Number of Independent Sets in Hexagonal Graphs

Jie Ding, Mohammad Noshad, Vahid Tarokh, Zhun Deng

arxiv:1505.07038 v3 · 2015-05-26 · cs.IT · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2FIFYY3POR5RWSTCNEBTTAXPU}

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	2026-05-18T00:47:29.598990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8a82e31b7ba3d8da53134819cc177d31e97c295a8f3eaeb50db48c049177da

Aliases

arxiv: 1505.07038 · arxiv_version: 1505.07038v3 · doi: 10.48550/arxiv.1505.07038 · pith_short_12: B2FIFYY3POR5 · pith_short_16: B2FIFYY3POR5RWST · pith_short_8: B2FIFYY3

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/B2FIFYY3POR5RWSTCNEBTTAXPU \
  | 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: 0e8a82e31b7ba3d8da53134819cc177d31e97c295a8f3eaeb50db48c049177da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffa3efb1469c1f5b1dffa8f238531b0ebadbed5f5736537b34521c92f4aa27e",
    "cross_cats_sorted": [
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-26T16:29:50Z",
    "title_canon_sha256": "080629cba45522341d9f6c4c6f369f7b650283113b373ba78e619285c72d98d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07038",
    "kind": "arxiv",
    "version": 3
  }
}