Pith Number

pith:42AURC7X

pith:2005:42AURC7XG76SX42TEU6HRFO3WR

not attested not anchored not stored refs pending

A q-Analogue of Faulhaber's Formula for Sums of Powers

Jiang Zeng, Victor J. W. Guo

arxiv:math/0501441 v3 · 2005-01-25 · 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{42AURC7XG76SX42TEU6HRFO3WR}

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	2026-05-18T04:26:00.773016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e681488bf737fd2bf353253c7895dbb47f58f9f984969f8330f3299882adbf0a

Aliases

arxiv: math/0501441 · arxiv_version: math/0501441v3 · doi: 10.48550/arxiv.math/0501441 · pith_short_12: 42AURC7XG76S · pith_short_16: 42AURC7XG76SX42T · pith_short_8: 42AURC7X

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/42AURC7XG76SX42TEU6HRFO3WR \
  | 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: e681488bf737fd2bf353253c7895dbb47f58f9f984969f8330f3299882adbf0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2005b2915b7eba6774e6537ab90c6389ce5e8350f1103a2bd332f10488a2abfd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-01-25T12:02:28Z",
    "title_canon_sha256": "a4e2af26354f65e41e5cbbadad1f858cb1f5da73a7ccded3d39de06ef8a52993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501441",
    "kind": "arxiv",
    "version": 3
  }
}