Pith Number

pith:OCP326YL

pith:2012:OCP326YLQTLC56YYKXXN5R3OLX

not attested not anchored not stored refs pending

Definite Integrals using Orthogonality and Integral Transforms

Hans Volkmer, Howard S. Cohl

arxiv:1210.0041 v2 · 2012-09-28 · 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{OCP326YLQTLC56YYKXXN5R3OLX}

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	2026-05-18T03:42:45.856370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

709fbd7b0b84d62efb1855eedec76e5dcd7cab22dec0c2f7e51b4f37cc1e2877

Aliases

arxiv: 1210.0041 · arxiv_version: 1210.0041v2 · doi: 10.48550/arxiv.1210.0041 · pith_short_12: OCP326YLQTLC · pith_short_16: OCP326YLQTLC56YY · pith_short_8: OCP326YL

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/OCP326YLQTLC56YYKXXN5R3OLX \
  | 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: 709fbd7b0b84d62efb1855eedec76e5dcd7cab22dec0c2f7e51b4f37cc1e2877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef131d1376d33a28ff44bb16bf88d62d76f1265f78e7b9054a908730ccb1d0b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-28T21:27:50Z",
    "title_canon_sha256": "9f077860c4a5a89a42831a19bf16e18d916b2261bbfca6a8a4023995035fe48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0041",
    "kind": "arxiv",
    "version": 2
  }
}