Pith Number

pith:RDWG44EX

pith:2009:RDWG44EXD64IM5ATNB3IX6NXSZ

not attested not anchored not stored refs pending

Some congruences involving central q-binomial coefficients

Jiang Zeng, Victor J. W. Guo

arxiv:0910.3563 v3 · 2009-10-19 · 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{RDWG44EXD64IM5ATNB3IX6NXSZ}

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	2026-05-18T04:26:01.530362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88ec6e70971fb886741368768bf9b7966c08e4ed8075029efbb73e941f33516d

Aliases

arxiv: 0910.3563 · arxiv_version: 0910.3563v3 · doi: 10.48550/arxiv.0910.3563 · pith_short_12: RDWG44EXD64I · pith_short_16: RDWG44EXD64IM5AT · pith_short_8: RDWG44EX

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/RDWG44EXD64IM5ATNB3IX6NXSZ \
  | 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: 88ec6e70971fb886741368768bf9b7966c08e4ed8075029efbb73e941f33516d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a8ad1283a95bef637b5ddf378994e97e75078d589e191a09d06a047a38a7ac",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-19T14:23:19Z",
    "title_canon_sha256": "6740252328526f843b98d908d83cd0c453b7fae7242af54ca710790f4c094393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3563",
    "kind": "arxiv",
    "version": 3
  }
}