Pith Number

pith:RCBH6UGY

pith:2005:RCBH6UGYIRAV6ZKUWJSEKYMRPU

not attested not anchored not stored refs pending

Factors of Alternating Sums of Products of Binomial and q-Binomial Coefficients

Frederic Jouhet, Jiang Zeng, Victor J. W. Guo

arxiv:math/0511635 v4 · 2005-11-25 · math.NT · 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{RCBH6UGYIRAV6ZKUWJSEKYMRPU}

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	2026-05-18T01:38:24.624474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88827f50d844415f6554b2644561917d2743051777afd0ac7e578374597d2a76

Aliases

arxiv: math/0511635 · arxiv_version: math/0511635v4 · doi: 10.48550/arxiv.math/0511635 · pith_short_12: RCBH6UGYIRAV · pith_short_16: RCBH6UGYIRAV6ZKU · pith_short_8: RCBH6UGY

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/RCBH6UGYIRAV6ZKUWJSEKYMRPU \
  | 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: 88827f50d844415f6554b2644561917d2743051777afd0ac7e578374597d2a76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261bea666bcdc57e6f6b30e5fd8b9370ca2becf7dda8ddaede8cb2b2828ece0a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-11-25T19:47:22Z",
    "title_canon_sha256": "8a7007cb60173b8d74d521cd92ada97d94269a8f4af8d12dc51af14eb5314db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511635",
    "kind": "arxiv",
    "version": 4
  }
}