Pith Number

pith:Q5QM2CHM

pith:2007:Q5QM2CHMES7IL7XV3FI4D66M4G

not attested not anchored not stored refs pending

On Asymptotics of $q$-Gamma Functions

Ruiming Zhang

arxiv:0705.2802 v3 · 2007-05-19 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5QM2CHMES7IL7XV3FI4D66M4G}

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	2026-05-18T02:16:30.835804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8760cd08ec24be85fef5d951c1fbcce18c666339cac2b15b3ad527c9bb5edda4

Aliases

arxiv: 0705.2802 · arxiv_version: 0705.2802v3 · doi: 10.48550/arxiv.0705.2802 · pith_short_12: Q5QM2CHMES7I · pith_short_16: Q5QM2CHMES7IL7XV · pith_short_8: Q5QM2CHM

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/Q5QM2CHMES7IL7XV3FI4D66M4G \
  | 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: 8760cd08ec24be85fef5d951c1fbcce18c666339cac2b15b3ad527c9bb5edda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13193b5aa25fdd784b912ca8504b3244601d9b958c3848e1e2c56020b07ac28",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-05-19T08:10:31Z",
    "title_canon_sha256": "9697129f0706df9a3a924152710853aed6e4387c19a25bd33e5a360f350b2cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2802",
    "kind": "arxiv",
    "version": 3
  }
}