Pith Number

pith:GBJU6DJM

pith:2009:GBJU6DJMNLZPRH4N5AE5G6I44J

not attested not anchored not stored refs pending

Some properties of the psi and polygamma functions

Bai-Ni Guo, Feng Qi

arxiv:0903.1003 v1 · 2009-03-05 · 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{GBJU6DJMNLZPRH4N5AE5G6I44J}

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	2026-05-18T04:42:44.758204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30534f0d2c6af2f89f8de809d3791ce271b1bd3d62bfaf5996e0c524a6e73e6b

Aliases

arxiv: 0903.1003 · arxiv_version: 0903.1003v1 · doi: 10.48550/arxiv.0903.1003 · pith_short_12: GBJU6DJMNLZP · pith_short_16: GBJU6DJMNLZPRH4N · pith_short_8: GBJU6DJM

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/GBJU6DJMNLZPRH4N5AE5G6I44J \
  | 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: 30534f0d2c6af2f89f8de809d3791ce271b1bd3d62bfaf5996e0c524a6e73e6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c472762cd10b1cd15c21018ec06885e6408789956d1995159890a3e545e447b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-03-05T16:00:58Z",
    "title_canon_sha256": "09b384d58bca8c4ff68708500bb67066dbdaf4ec478f910a6d383a1e7e2850b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1003",
    "kind": "arxiv",
    "version": 1
  }
}