Pith Number

pith:KOJZGTNI

pith:2009:KOJZGTNIP3ZWBHDMZS5DC56T5M

not attested not anchored not stored refs pending

The bispectrum as a source of phase-sensitive invariants for Fourier descriptors: a group-theoretic approach

Ramakrishna Kakarala

arxiv:0902.0196 v2 · 2009-02-02 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOJZGTNIP3ZWBHDMZS5DC56T5M}

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	2026-05-18T04:02:25.451247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5393934da87ef3609c6cccba3177d3eb0ab28b48876dcdba8d614bd29fd655f7

Aliases

arxiv: 0902.0196 · arxiv_version: 0902.0196v2 · doi: 10.48550/arxiv.0902.0196 · pith_short_12: KOJZGTNIP3ZW · pith_short_16: KOJZGTNIP3ZWBHDM · pith_short_8: KOJZGTNI

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/KOJZGTNIP3ZWBHDMZS5DC56T5M \
  | 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: 5393934da87ef3609c6cccba3177d3eb0ab28b48876dcdba8d614bd29fd655f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e0ed767eecb0083866e66cb45939d489d2e46817c5e115929fe6d4ba94210f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-02-02T04:35:09Z",
    "title_canon_sha256": "18946a9918545542a9a96b69313066b44c82ef08e0dc24424b8c9123765ecce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0196",
    "kind": "arxiv",
    "version": 2
  }
}