Pith Number

pith:N3PJVF4P

pith:2015:N3PJVF4P44IP3IHUDPXTG4XGGL

not attested not anchored not stored refs pending

Butterfly Factorization

Eileen Martin, Haizhao Yang, Kenneth Ho, Lexing Ying, Yingzhou Li

arxiv:1502.01379 v3 · 2015-02-04 · 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{N3PJVF4P44IP3IHUDPXTG4XGGL}

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	2026-05-18T01:22:18.917646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ede9a978fe710fda0f41bef3372e632db5a798c6f98d5ae23e8c3de5d4a85f8

Aliases

arxiv: 1502.01379 · arxiv_version: 1502.01379v3 · doi: 10.48550/arxiv.1502.01379 · pith_short_12: N3PJVF4P44IP · pith_short_16: N3PJVF4P44IP3IHU · pith_short_8: N3PJVF4P

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/N3PJVF4P44IP3IHUDPXTG4XGGL \
  | 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: 6ede9a978fe710fda0f41bef3372e632db5a798c6f98d5ae23e8c3de5d4a85f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667854ad26cd3caa428b066a6fe0b1f5888d822d3407624abee6fc53df8bbc0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-02-04T22:23:07Z",
    "title_canon_sha256": "1c0ca18aa50ae621788d4b0290af0893bab244f00a788338b09251c55f0cdc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01379",
    "kind": "arxiv",
    "version": 3
  }
}