Pith Number

pith:ZIFWZJOA

pith:2004:ZIFWZJOA2KVZFP36RJIAGKUYRL

not attested not anchored not stored refs pending

Summation formulae for noncommutative hypergeometric series

Michael Schlosser

arxiv:math/0411136 v1 · 2004-11-06 · math.CA · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIFWZJOA2KVZFP36RJIAGKUYRL}

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	2026-05-17T23:53:03.235514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0b6ca5c0d2ab92bf7e8a50032a988ad550f3cb96ef652e3f1bc68210117983

Aliases

arxiv: math/0411136 · arxiv_version: math/0411136v1 · doi: 10.48550/arxiv.math/0411136 · pith_short_12: ZIFWZJOA2KVZ · pith_short_16: ZIFWZJOA2KVZFP36 · pith_short_8: ZIFWZJOA

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/ZIFWZJOA2KVZFP36RJIAGKUYRL \
  | 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: ca0b6ca5c0d2ab92bf7e8a50032a988ad550f3cb96ef652e3f1bc68210117983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f73aed6b8f08619ea33903e6f4975ba75662c6a7c41bcec6f19e23a42406290",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-11-06T15:06:11Z",
    "title_canon_sha256": "dd6dc76b4f3544eb85faba28200914ccd44b7b2fe7bf5879a9d43a59fa20533c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411136",
    "kind": "arxiv",
    "version": 1
  }
}