Pith Number

pith:Q3CJKCIZ

pith:2014:Q3CJKCIZSJ2N5WKEIEZPQSB7OF

not attested not anchored not stored refs pending

A combinatorial interpretation of the $\kappa^{\star}_{g}(n)$ coefficients

Christian M. Reidys, Thomas J. X. Li

arxiv:1406.3162 v2 · 2014-06-12 · 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{Q3CJKCIZSJ2N5WKEIEZPQSB7OF}

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	2026-05-18T02:49:04.225200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c49509199274ded9444132f8483f715e5e2a6abf87b5debf5ac5d2abfd8326

Aliases

arxiv: 1406.3162 · arxiv_version: 1406.3162v2 · doi: 10.48550/arxiv.1406.3162 · pith_short_12: Q3CJKCIZSJ2N · pith_short_16: Q3CJKCIZSJ2N5WKE · pith_short_8: Q3CJKCIZ

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/Q3CJKCIZSJ2N5WKEIEZPQSB7OF \
  | 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: 86c49509199274ded9444132f8483f715e5e2a6abf87b5debf5ac5d2abfd8326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9184c1ad5c27cf0a5920abbb9337f65859a4428d5133ea4d615fb8ae100dd8cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-12T09:25:16Z",
    "title_canon_sha256": "f14cd5d9f64e48cd7877eb23a55cb84cf3712ad5421cbd9f986e23a57bb5d40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3162",
    "kind": "arxiv",
    "version": 2
  }
}