Pith Number

pith:CTYKVCHI

pith:2013:CTYKVCHI2B7XYL3QNECDOOO5MO

not attested not anchored not stored refs pending

The Number Theoretic Hilbert Transform

Subhash Kak

arxiv:1308.1688 v1 · 2013-08-05 · cs.CR · cs.IT · math.IT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTYKVCHI2B7XYL3QNECDOOO5MO}

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	2026-05-18T02:45:12.648012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f0aa88e8d07f7c2f7069043739dd639fb357344adab3b415906bade2f48239

Aliases

arxiv: 1308.1688 · arxiv_version: 1308.1688v1 · doi: 10.48550/arxiv.1308.1688 · pith_short_12: CTYKVCHI2B7X · pith_short_16: CTYKVCHI2B7XYL3Q · pith_short_8: CTYKVCHI

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/CTYKVCHI2B7XYL3QNECDOOO5MO \
  | 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: 14f0aa88e8d07f7c2f7069043739dd639fb357344adab3b415906bade2f48239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2c82300b63a0ee5fab141e9d9de9a66f960b46ad27bd72736620d3fd88cf1c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-08-05T20:48:47Z",
    "title_canon_sha256": "785fbcbdcc2a4195b39ae7b91a55162adc5485464826429f22390d2d05507bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1688",
    "kind": "arxiv",
    "version": 1
  }
}