Pith Number

pith:XA5B5KIF

pith:2017:XA5B5KIFRXUELMRAEIQB26Q3EW

not attested not anchored not stored refs pending

Connecting the q-Multiplicative Convolution and the Finite Difference Convolution

Jonathan Leake, Nick Ryder

arxiv:1712.02499 v1 · 2017-12-07 · math.CV · 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{XA5B5KIFRXUELMRAEIQB26Q3EW}

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	2026-05-18T00:28:33.857125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b83a1ea9058de845b22022201d7a1b259158148dbcc374f96299d1cbc5e94938

Aliases

arxiv: 1712.02499 · arxiv_version: 1712.02499v1 · doi: 10.48550/arxiv.1712.02499 · pith_short_12: XA5B5KIFRXUE · pith_short_16: XA5B5KIFRXUELMRA · pith_short_8: XA5B5KIF

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/XA5B5KIFRXUELMRAEIQB26Q3EW \
  | 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: b83a1ea9058de845b22022201d7a1b259158148dbcc374f96299d1cbc5e94938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dd7c3d3afe22090372d7179482f8bb48ea5125d059f0b6a585e168b4b72fd50",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-12-07T05:40:30Z",
    "title_canon_sha256": "50e175bd7c898d2533cfc5397ad901e8e1a8845ecdf33d391ca7efd77415a4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02499",
    "kind": "arxiv",
    "version": 1
  }
}