Pith Number

pith:GKNI5JSO

pith:2013:GKNI5JSOPZNS74UXEZGCLKBF23

not attested not anchored not stored refs pending

Composition of Dyadic Paraproducts

Brett D. Wick, Eric T. Sawyer, Maria Carmen Reguera, Sandra Pott

arxiv:1308.5348 v1 · 2013-08-24 · math.CA · math.AP · 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{GKNI5JSOPZNS74UXEZGCLKBF23}

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	2026-05-18T01:02:59.601389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329a8ea64e7e5b2ff297264c25a825d6d439883d40a6e9b10bf446042285d26c

Aliases

arxiv: 1308.5348 · arxiv_version: 1308.5348v1 · doi: 10.48550/arxiv.1308.5348 · pith_short_12: GKNI5JSOPZNS · pith_short_16: GKNI5JSOPZNS74UX · pith_short_8: GKNI5JSO

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/GKNI5JSOPZNS74UXEZGCLKBF23 \
  | 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: 329a8ea64e7e5b2ff297264c25a825d6d439883d40a6e9b10bf446042285d26c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f86cd53f0b05ee6a000d3af703a7709187d58879fdef3bb68e9cea15f0d26b",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-24T17:33:04Z",
    "title_canon_sha256": "9bcc18714c52cf4aaf971e9304060cc8dc12956adc294bdad04449e4168d91c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5348",
    "kind": "arxiv",
    "version": 1
  }
}