Pith Number

pith:JJ2ASLQ6

pith:2014:JJ2ASLQ6TAMVRWQYN75QJTOFOS

not attested not anchored not stored refs pending

A Multiscale Butterfly Algorithm for Multidimensional Fourier Integral Operators

Haizhao Yang, Lexing Ying, Yingzhou Li

arxiv:1411.7418 v2 · 2014-11-26 · 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{JJ2ASLQ6TAMVRWQYN75QJTOFOS}

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	2026-05-18T01:22:18.995719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a74092e1e981958da186ffb04cdc574bed321600da7917a04406614af9cee45

Aliases

arxiv: 1411.7418 · arxiv_version: 1411.7418v2 · doi: 10.48550/arxiv.1411.7418 · pith_short_12: JJ2ASLQ6TAMV · pith_short_16: JJ2ASLQ6TAMVRWQY · pith_short_8: JJ2ASLQ6

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/JJ2ASLQ6TAMVRWQYN75QJTOFOS \
  | 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: 4a74092e1e981958da186ffb04cdc574bed321600da7917a04406614af9cee45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf72b7930f8f90c1673e087adeb9d8c403ee9bae9fb1417566f9eabc3b283db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-11-26T23:02:52Z",
    "title_canon_sha256": "1174d7dc7af59899ab114284c461080e027c976ec579f9221f79a6418b8a179d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7418",
    "kind": "arxiv",
    "version": 2
  }
}