Pith Number

pith:K44TTZHH

pith:2009:K44TTZHHEPBLJRZRXYQA4EVSIX

not attested not anchored not stored refs pending

Real-variables characterization of generalized Stieltjes functions

Alan D. Sokal

arxiv:0902.0065 v2 · 2009-01-31 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K44TTZHHEPBLJRZRXYQA4EVSIX}

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	2026-05-18T04:34:10.220621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

573939e4e723c2b4c731be200e12b245e680fb0c5b87babc55bec370f7b31e45

Aliases

arxiv: 0902.0065 · arxiv_version: 0902.0065v2 · doi: 10.48550/arxiv.0902.0065 · pith_short_12: K44TTZHHEPBL · pith_short_16: K44TTZHHEPBLJRZR · pith_short_8: K44TTZHH

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/K44TTZHHEPBLJRZRXYQA4EVSIX \
  | 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: 573939e4e723c2b4c731be200e12b245e680fb0c5b87babc55bec370f7b31e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a44d57b22bcbb5aa28efafbb1eefa03edfd21fe1a53df3076fa31ef84df53e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-01-31T13:09:03Z",
    "title_canon_sha256": "5a64578ba2c7fe55438b2827282f2bb813772c87c205a0a3549ae1f21d9170a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0065",
    "kind": "arxiv",
    "version": 2
  }
}