Pith Number

pith:AFX35NGE

pith:2016:AFX35NGEQ6UA7JERZRHJOS3SO7

not attested not anchored not stored refs pending

Hypercomplex Signal Energy Concentration in the Spatial and Quaternionic Linear Canonical Frequency Domains

Cuiming Zou, Kit Ian Kou

arxiv:1609.00890 v1 · 2016-09-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFX35NGEQ6UA7JERZRHJOS3SO7}

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	2026-05-18T01:06:19.669952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

016fbeb4c487a80fa491cc4e974b7277e8dfdce8742443b78f4a176046f54fd6

Aliases

arxiv: 1609.00890 · arxiv_version: 1609.00890v1 · doi: 10.48550/arxiv.1609.00890 · pith_short_12: AFX35NGEQ6UA · pith_short_16: AFX35NGEQ6UA7JER · pith_short_8: AFX35NGE

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/AFX35NGEQ6UA7JERZRHJOS3SO7 \
  | 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: 016fbeb4c487a80fa491cc4e974b7277e8dfdce8742443b78f4a176046f54fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e054facde4551f1d9c00a7098b6f7ec033c94d23a83efa96378e9df766fbd95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-04T03:03:05Z",
    "title_canon_sha256": "78435344524a07aa5633924fd894814581d2fdc007b5b7acff1d38470f3e5997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00890",
    "kind": "arxiv",
    "version": 1
  }
}