Pith Number

pith:3USZ35VT

pith:2016:3USZ35VTEQOMXJXE32TW7AFAFI

not attested not anchored not stored refs pending

A Fast Algorithm for Computing the Fourier Spectrum of a Fractional Period

Changchuan Yin, Jiasong Wang

arxiv:1604.01589 v3 · 2016-04-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3USZ35VTEQOMXJXE32TW7AFAFI}

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	2026-05-18T00:31:31.681785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd259df6b3241ccba6e4dea76f80a02a15623cc9a91619cb49521780380d8086

Aliases

arxiv: 1604.01589 · arxiv_version: 1604.01589v3 · doi: 10.48550/arxiv.1604.01589 · pith_short_12: 3USZ35VTEQOM · pith_short_16: 3USZ35VTEQOMXJXE · pith_short_8: 3USZ35VT

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/3USZ35VTEQOMXJXE32TW7AFAFI \
  | 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: dd259df6b3241ccba6e4dea76f80a02a15623cc9a91619cb49521780380d8086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dbe7e4e8b568d349ed56b46d4b1f272938d6c517205879b3cfbe81f0d742837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-04-06T12:33:53Z",
    "title_canon_sha256": "2d5fdd54077f8c066a51b2196c16d5d6b227a77d6a76bbacc7f0c549a030c92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01589",
    "kind": "arxiv",
    "version": 3
  }
}