Pith Number

pith:NYDLE7IX

pith:2009:NYDLE7IX2ZFOM5JMETXOD2YQDW

not attested not anchored not stored refs pending

A class of completely monotonic functions involving divided differences of the psi and polygamma functions and some applications

Bai-Ni Guo, Feng Qi

arxiv:0903.1430 v1 · 2009-03-08 · 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{NYDLE7IX2ZFOM5JMETXOD2YQDW}

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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	2026-05-18T04:22:11.615638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e06b27d17d64ae6752c24eee1eb101d87826ad90643d3595f98f89b86bbd892

Aliases

arxiv: 0903.1430 · arxiv_version: 0903.1430v1 · doi: 10.48550/arxiv.0903.1430 · pith_short_12: NYDLE7IX2ZFO · pith_short_16: NYDLE7IX2ZFOM5JM · pith_short_8: NYDLE7IX

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/NYDLE7IX2ZFOM5JMETXOD2YQDW \
  | 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: 6e06b27d17d64ae6752c24eee1eb101d87826ad90643d3595f98f89b86bbd892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e36a267245994a90e04f66d6413464dd96f39d56fcef594df8f22278ef089d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-03-08T14:07:19Z",
    "title_canon_sha256": "cbb0cc78d0c49931a50f622f52408cad076fbde119b723110a53a90630d84193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1430",
    "kind": "arxiv",
    "version": 1
  }
}