Pith Number

pith:A37DSE2Y

pith:2016:A37DSE2Y5PSPPXQ4F6N2QHV5WP

not attested not anchored not stored refs pending

Plancherel theorem and quaternion Fourier transform for square integrable functions

Dong Cheng, Kit Ian Kou

arxiv:1607.05100 v2 · 2016-06-28 · 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{A37DSE2Y5PSPPXQ4F6N2QHV5WP}

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	2026-05-17T23:52:24.802694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06fe391358ebe4f7de1c2f9ba81ebdb3c245df171d8cc14cfedc971047e80e38

Aliases

arxiv: 1607.05100 · arxiv_version: 1607.05100v2 · doi: 10.48550/arxiv.1607.05100 · pith_short_12: A37DSE2Y5PSP · pith_short_16: A37DSE2Y5PSPPXQ4 · pith_short_8: A37DSE2Y

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/A37DSE2Y5PSPPXQ4F6N2QHV5WP \
  | 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: 06fe391358ebe4f7de1c2f9ba81ebdb3c245df171d8cc14cfedc971047e80e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2bc5dcb8879e1694680dabeec1f23432f6f41ff059db36ca7d8bb5039e1133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-28T08:02:24Z",
    "title_canon_sha256": "a61044b533c5a152c3cdbd9ffa86eeae36b59d1a5a7906648a4c2f90422fb93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05100",
    "kind": "arxiv",
    "version": 2
  }
}