Pith Number

pith:TE7KSHW5

pith:2010:TE7KSHW55JVDL3BW5KRKR6GYGI

not attested not anchored not stored refs pending

On Asymptotics Of \Gamma_{q}(z) As q Approaching 1

Ruiming Zhang

arxiv:1011.0720 v2 · 2010-10-08 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TE7KSHW55JVDL3BW5KRKR6GYGI}

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	2026-05-18T04:36:32.868854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

993ea91eddea6a35ec36eaa2a8f8d8320e2cacc793716657f7ea74be6cf7b6e1

Aliases

arxiv: 1011.0720 · arxiv_version: 1011.0720v2 · doi: 10.48550/arxiv.1011.0720 · pith_short_12: TE7KSHW55JVD · pith_short_16: TE7KSHW55JVDL3BW · pith_short_8: TE7KSHW5

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/TE7KSHW55JVDL3BW5KRKR6GYGI \
  | 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: 993ea91eddea6a35ec36eaa2a8f8d8320e2cacc793716657f7ea74be6cf7b6e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2add12cd8a57fed9b497f5893f62e5b5cf3dda99e5da60b52a50b3c0c08c59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-08T01:59:49Z",
    "title_canon_sha256": "434c0337ed753b6c92c4296bdf33bd3fbe904e94cc4e50bf336abdec8b0ace8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0720",
    "kind": "arxiv",
    "version": 2
  }
}