Pith Number

pith:YCS6VU64

pith:2004:YCS6VU64SRLHMTP4KRBNBWV2PK

not attested not anchored not stored refs pending

A Series Expansion for Integral Powers of Arctangent

Michael Milgram

arxiv:math/0406337 v1 · 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{YCS6VU64SRLHMTP4KRBNBWV2PK}

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	2026-05-18T03:25:26.118291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a5ead3dc9456764dfc5442d0daba7aac498daa572d03a354eb905244f4a665

Aliases

arxiv: math/0406337 · arxiv_version: math/0406337v1 · doi: 10.48550/arxiv.math/0406337 · pith_short_12: YCS6VU64SRLH · pith_short_16: YCS6VU64SRLHMTP4 · pith_short_8: YCS6VU64

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/YCS6VU64SRLHMTP4KRBNBWV2PK \
  | 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: c0a5ead3dc9456764dfc5442d0daba7aac498daa572d03a354eb905244f4a665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ae2296f9e4de8a5accf7a1b5ea4279f196aae9dd0500f00918999287384b48c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-06-17T02:59:36Z",
    "title_canon_sha256": "c52efaa516577c52707f2e66ad583daf405a8d97859630d0707387b448157e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406337",
    "kind": "arxiv",
    "version": 1
  }
}