Pith Number

pith:WWOKKFR5

pith:2014:WWOKKFR5H34PGF7GVUM44REV2B

not attested not anchored not stored refs pending

Approximation by amplitude and frequency operators

Petr Chunaev, Vladimir Danchenko

arxiv:1409.4188 v3 · 2014-09-15 · 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{WWOKKFR5H34PGF7GVUM44REV2B}

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	2026-05-18T01:19:34.500436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59ca5163d3ef8f317e6ad19ce4495d05d33a4a4c2a588c930221cfa46ba6845

Aliases

arxiv: 1409.4188 · arxiv_version: 1409.4188v3 · doi: 10.48550/arxiv.1409.4188 · pith_short_12: WWOKKFR5H34P · pith_short_16: WWOKKFR5H34PGF7G · pith_short_8: WWOKKFR5

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/WWOKKFR5H34PGF7GVUM44REV2B \
  | 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: b59ca5163d3ef8f317e6ad19ce4495d05d33a4a4c2a588c930221cfa46ba6845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1027d45c239f32e8c7d61ec3f330cac6ceb44d558eb6592ea9c3fb9d6dee4ac4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-15T09:20:42Z",
    "title_canon_sha256": "04a6a6d43e1e9a3d9a9a9a707fa41d7a304c8f7688f8b2373e4afceede832067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4188",
    "kind": "arxiv",
    "version": 3
  }
}