Pith Number

pith:M6FS7UZH

pith:2009:M6FS7UZHC2V4UCSAGTZ7SVBZJW

not attested not anchored not stored refs pending

More supplements to a class of logarithmically completely monotonic functions associated with the gamma function

Feng Qi, Senlin Guo

arxiv:0904.4027 v1 · 2009-04-26 · 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{M6FS7UZHC2V4UCSAGTZ7SVBZJW}

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	2026-05-18T03:48:34.610932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678b2fd32716abca0a4034f3f954394db9c000fbc07b2501b3cd74762e05d3bb

Aliases

arxiv: 0904.4027 · arxiv_version: 0904.4027v1 · doi: 10.48550/arxiv.0904.4027 · pith_short_12: M6FS7UZHC2V4 · pith_short_16: M6FS7UZHC2V4UCSA · pith_short_8: M6FS7UZH

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/M6FS7UZHC2V4UCSAGTZ7SVBZJW \
  | 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: 678b2fd32716abca0a4034f3f954394db9c000fbc07b2501b3cd74762e05d3bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d8722830bcec0168aa293fb62d30be8fc61426dc99312e58d03e0cb706eb1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-04-26T14:04:11Z",
    "title_canon_sha256": "46ea8f91cb7b47e6514e641b760a071efd89d0a470571f66686975a533f4298c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4027",
    "kind": "arxiv",
    "version": 1
  }
}