Pith Number

pith:DAXL255Q

pith:2018:DAXL255QBW5EKKPUHPCCMJTJ5V

not attested not anchored not stored refs pending

An introduction to the Barnes double gamma function with an application to an integral involving the cotangent function

Donal F. Connon

arxiv:1801.08025 v3 · 2018-01-20 · 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{DAXL255QBW5EKKPUHPCCMJTJ5V}

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	2026-05-17T23:53:51.766096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182ebd77b00dba4529f43bc4262669ed5bfbb982f173ceac0299ccdaf56c47bc

Aliases

arxiv: 1801.08025 · arxiv_version: 1801.08025v3 · doi: 10.48550/arxiv.1801.08025 · pith_short_12: DAXL255QBW5E · pith_short_16: DAXL255QBW5EKKPU · pith_short_8: DAXL255Q

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/DAXL255QBW5EKKPUHPCCMJTJ5V \
  | 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: 182ebd77b00dba4529f43bc4262669ed5bfbb982f173ceac0299ccdaf56c47bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4e4377846be9e7636ff40081ff35b39c573eed6c27b26fbd13823f1d698fbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-20T06:01:04Z",
    "title_canon_sha256": "f4d40c5e4d35888452a6d942bdd9699d13625e79b2aa151c0e524dcac3cd29a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08025",
    "kind": "arxiv",
    "version": 3
  }
}