Pith Number

pith:KRLHH53O

pith:2009:KRLHH53OHMRUTTMUN23NHPZUMB

not attested not anchored not stored refs pending

Some logarithmically completely monotonic functions related to the gamma function

Bai-Ni Guo, Feng Qi

arxiv:0903.5123 v1 · 2009-03-30 · 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{KRLHH53OHMRUTTMUN23NHPZUMB}

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	2026-05-18T04:42:44.734682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545673f76e3b2349cd946eb6d3bf34606b89a32ff48669458929ae7c55e0b02b

Aliases

arxiv: 0903.5123 · arxiv_version: 0903.5123v1 · doi: 10.48550/arxiv.0903.5123 · pith_short_12: KRLHH53OHMRU · pith_short_16: KRLHH53OHMRUTTMU · pith_short_8: KRLHH53O

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/KRLHH53OHMRUTTMUN23NHPZUMB \
  | 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: 545673f76e3b2349cd946eb6d3bf34606b89a32ff48669458929ae7c55e0b02b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20cc8326a26f3049761b9b4840b81b798ab5c4d52c5d6d822d3b61d3accaf3e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-03-30T04:02:52Z",
    "title_canon_sha256": "c6ec44e58471b6a3162a0ae207ae152db3b0e727d11fba2856ce7472c1f4b1cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5123",
    "kind": "arxiv",
    "version": 1
  }
}