Pith Number

pith:CCDGWH7N

pith:1995:CCDGWH7NWBKWWOO35BZUNFML4B

not attested not anchored not stored refs pending

On a q-analogue of the multiple gamma functions

Michitomo Nishizawa

arxiv:q-alg/9505013 v1 · 1995-05-16 · q-alg · 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{CCDGWH7NWBKWWOO35BZUNFML4B}

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	2026-05-18T01:05:07.631233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10866b1fedb0556b39dbe87346958be04a06954a63e8c35949c16ddbbaf2928c

Aliases

arxiv: q-alg/9505013 · arxiv_version: q-alg/9505013v1 · doi: 10.48550/arxiv.q-alg/9505013 · pith_short_12: CCDGWH7NWBKW · pith_short_16: CCDGWH7NWBKWWOO3 · pith_short_8: CCDGWH7N

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/CCDGWH7NWBKWWOO35BZUNFML4B \
  | 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: 10866b1fedb0556b39dbe87346958be04a06954a63e8c35949c16ddbbaf2928c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5108876a5c78e3003d3d8639e685c6ab75666de3d30507f808339dc8bed26d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1995-05-16T11:29:57Z",
    "title_canon_sha256": "4571a13a8876e78496059cea185abae086872058bb92288fecdd5ad3f90a79b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9505013",
    "kind": "arxiv",
    "version": 1
  }
}