Pith Number

pith:QQYWEJJV

pith:2005:QQYWEJJVBZL3CXTMTYVTI42ING

not attested not anchored not stored refs pending

Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series

Jiang Zeng (Universite Claude Bernard Lyon-I), Victor J. W. Guo

arxiv:math/0512571 v2 · 2005-12-26 · 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{QQYWEJJVBZL3CXTMTYVTI42ING}

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	2026-05-18T04:26:00.751630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84316225350e57b15e6c9e2b34734869b1c4111f6f2c45decc156c06c42a00ed

Aliases

arxiv: math/0512571 · arxiv_version: math/0512571v2 · doi: 10.48550/arxiv.math/0512571 · pith_short_12: QQYWEJJVBZL3 · pith_short_16: QQYWEJJVBZL3CXTM · pith_short_8: QQYWEJJV

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/QQYWEJJVBZL3CXTMTYVTI42ING \
  | 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: 84316225350e57b15e6c9e2b34734869b1c4111f6f2c45decc156c06c42a00ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3852bccb06a0523a969a9e8b883e57e32bb13da31e3e0c09da77dcc6700e1847",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-12-26T12:27:40Z",
    "title_canon_sha256": "af66afc13cb67df06c3785a5247b3ee0aafcd7c1a575c16ca01a0d7a5e593a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512571",
    "kind": "arxiv",
    "version": 2
  }
}