Pith Number

pith:3UOQQW3L

pith:2012:3UOQQW3LLSXRTWZPAEHCM4RHQJ

not attested not anchored not stored refs pending

Instantaneous frequency and amplitude of complex signals based on quaternion Fourier transform

Nicolas Le Bihan, Stephen J. Sangwine, Todd A. Ell

arxiv:1208.1363 v1 · 2012-08-07 · 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{3UOQQW3LLSXRTWZPAEHCM4RHQJ}

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	2026-05-18T02:57:24.265280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd1d085b6b5caf19db2f010e2672278271b0fe15795246749c716cce08062e25

Aliases

arxiv: 1208.1363 · arxiv_version: 1208.1363v1 · doi: 10.48550/arxiv.1208.1363 · pith_short_12: 3UOQQW3LLSXR · pith_short_16: 3UOQQW3LLSXRTWZP · pith_short_8: 3UOQQW3L

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/3UOQQW3LLSXRTWZPAEHCM4RHQJ \
  | 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: dd1d085b6b5caf19db2f010e2672278271b0fe15795246749c716cce08062e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6a1d6c63c40cb118766897a45eef8f1ca68ad7aa0b6f884ff6474c30782db71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-08-07T08:32:56Z",
    "title_canon_sha256": "26f1a18183b0c256dc2bf1085126cbb3fc500cc31a36df23020ebd5b5ddbdee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1363",
    "kind": "arxiv",
    "version": 1
  }
}