Pith Number

pith:65M6JCIA

pith:2004:65M6JCIAHTNOWSMSBLYVMQPM3B

not attested not anchored not stored refs pending

On Some Sums of Digamma and Polygamma functions - Version (2017) and Review

Michael Milgram

arxiv:math/0406338 v3 · 2004-06-17 · 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{65M6JCIAHTNOWSMSBLYVMQPM3B}

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	2026-05-18T00:32:47.838678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f759e489003cdaeb49920af15641ecd841f12e784191037e1b4644a511a4e86e

Aliases

arxiv: math/0406338 · arxiv_version: math/0406338v3 · doi: 10.48550/arxiv.math/0406338 · pith_short_12: 65M6JCIAHTNO · pith_short_16: 65M6JCIAHTNOWSMS · pith_short_8: 65M6JCIA

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/65M6JCIAHTNOWSMSBLYVMQPM3B \
  | 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: f759e489003cdaeb49920af15641ecd841f12e784191037e1b4644a511a4e86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d43515400a33e382e066dbb8b57aa03f54fa16721191c403aa9e9baffa8759",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2004-06-17T03:37:44Z",
    "title_canon_sha256": "34ba45d8c7de5fee8deb7d0f50d698a1362266cd7bea89a869dad576cdb112d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406338",
    "kind": "arxiv",
    "version": 3
  }
}