Pith Number

pith:PF23F7FN

pith:2012:PF23F7FNFWSYYT5ZUVZLUEY5HQ

not attested not anchored not stored refs pending

One-parameter and multiparameter function classes are intersections of finitely many dyadic classes

Ji Li, Jill Pipher, Lesley A. Ward

arxiv:1204.6559 v1 · 2012-04-30 · 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{PF23F7FNFWSYYT5ZUVZLUEY5HQ}

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	2026-05-18T03:56:44.481148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7975b2fcad2da58c4fb9a572ba131d3c119741536b2750990e668d668ecb6de7

Aliases

arxiv: 1204.6559 · arxiv_version: 1204.6559v1 · doi: 10.48550/arxiv.1204.6559 · pith_short_12: PF23F7FNFWSY · pith_short_16: PF23F7FNFWSYYT5Z · pith_short_8: PF23F7FN

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/PF23F7FNFWSYYT5ZUVZLUEY5HQ \
  | 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: 7975b2fcad2da58c4fb9a572ba131d3c119741536b2750990e668d668ecb6de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed66f94e72d61b568a7a775e50f35de6e796bcb026c983671f3fad9bc11307b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-30T06:36:00Z",
    "title_canon_sha256": "0315137277d47505ab2bc9b04d330a78d342aa8b9d1cc293733305f036e11fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6559",
    "kind": "arxiv",
    "version": 1
  }
}