Pith Number

pith:BJCXRKHS

pith:2015:BJCXRKHSK2CQENMDG5JWEQDB6J

not attested not anchored not stored refs pending

Multidimensional Butterfly Factorization

Haizhao Yang, Lexing Ying, Yingzhou Li

arxiv:1509.07925 v1 · 2015-09-25 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJCXRKHSK2CQENMDG5JWEQDB6J}

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	2026-05-18T00:42:44.552638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4578a8f256850235833753624061f262d3411ba9d891566a324ba0cf726827

Aliases

arxiv: 1509.07925 · arxiv_version: 1509.07925v1 · doi: 10.48550/arxiv.1509.07925 · pith_short_12: BJCXRKHSK2CQ · pith_short_16: BJCXRKHSK2CQENMD · pith_short_8: BJCXRKHS

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/BJCXRKHSK2CQENMDG5JWEQDB6J \
  | 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: 0a4578a8f256850235833753624061f262d3411ba9d891566a324ba0cf726827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0291a1d4003263ab775e29efb28a7930864fe6d9c2724e10f116e1d5274e7313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-25T23:50:54Z",
    "title_canon_sha256": "a2e6e3e751c4669270578818a8e74693dfb2f6f66b9828bb116e4cf91ba4d514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07925",
    "kind": "arxiv",
    "version": 1
  }
}