Pith Number

pith:YO7DGAGO

pith:2011:YO7DGAGOGOXVXUGA65VZWRR26U

not attested not anchored not stored refs pending

Instantaneous frequency and wave shape functions (I)

Hau-Tieng Wu

arxiv:1104.2365 v2 · 2011-04-13 · math.NA · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YO7DGAGOGOXVXUGA65VZWRR26U}

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	2026-05-18T03:50:25.913661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3be3300ce33af5bd0c0f76b9b463af52ef4a95ec2fbd0c23409c7f4a230a7e3

Aliases

arxiv: 1104.2365 · arxiv_version: 1104.2365v2 · doi: 10.48550/arxiv.1104.2365 · pith_short_12: YO7DGAGOGOXV · pith_short_16: YO7DGAGOGOXVXUGA · pith_short_8: YO7DGAGO

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/YO7DGAGOGOXVXUGA65VZWRR26U \
  | 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: c3be3300ce33af5bd0c0f76b9b463af52ef4a95ec2fbd0c23409c7f4a230a7e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e47d20de984e7f264552db6e440e48b55deb3f58b0e8a359d3aeb488c2e091d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-04-13T02:19:06Z",
    "title_canon_sha256": "79dfe8faa48c3f9c8bcc05b925bd34fea36b8dd29903040262c420f0a7317b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2365",
    "kind": "arxiv",
    "version": 2
  }
}