Pith Number

pith:CRBQZ6FY

pith:2005:CRBQZ6FYYQO2DI4OOBONJKOFKQ

not attested not anchored not stored refs pending

A combinatorial interpretation of Guo and Zeng's q-Faulhaber coefficients

Martin Rubey

arxiv:math/0503114 v1 · 2005-03-06 · 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{CRBQZ6FYYQO2DI4OOBONJKOFKQ}

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	2026-05-18T01:05:23.684514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14430cf8b8c41da1a38e705cd4a9c5543166412be652c3f13a4e1d5f97ab0b4c

Aliases

arxiv: math/0503114 · arxiv_version: math/0503114v1 · doi: 10.48550/arxiv.math/0503114 · pith_short_12: CRBQZ6FYYQO2 · pith_short_16: CRBQZ6FYYQO2DI4O · pith_short_8: CRBQZ6FY

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/CRBQZ6FYYQO2DI4OOBONJKOFKQ \
  | 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: 14430cf8b8c41da1a38e705cd4a9c5543166412be652c3f13a4e1d5f97ab0b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e433e3471260136e1b2550e62a559dd1c8d618a56b5885283a78f70b268ace",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-03-06T19:36:52Z",
    "title_canon_sha256": "365a29b37cc577cf0f5619585e3c7d71fe9c7053b9b54d11492935a0589c4ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503114",
    "kind": "arxiv",
    "version": 1
  }
}