Pith Number

pith:KC2JQV3M

pith:2024:KC2JQV3MNC2I4C2GVPS5KICDXH

not attested not anchored not stored refs pending

Discrete Quaternionic (Multi-window) Gabor Systems

Najib Khachiaa

arxiv:2411.16988 v1 · 2024-11-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KC2JQV3MNC2I4C2GVPS5KICDXH}

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	2026-07-05T09:40:25.583370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b498576c68b48e0b46abe5d52043b9dadb064198ce1f873a247143d16c4958

Aliases

arxiv: 2411.16988 · arxiv_version: 2411.16988v1 · doi: 10.48550/arxiv.2411.16988 · pith_short_12: KC2JQV3MNC2I · pith_short_16: KC2JQV3MNC2I4C2G · pith_short_8: KC2JQV3M

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/KC2JQV3MNC2I4C2GVPS5KICDXH \
  | 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: 50b498576c68b48e0b46abe5d52043b9dadb064198ce1f873a247143d16c4958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9e14c4eee453cabed64fc8ac02732077490f17d140cd4bd1616f2cc42352c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-25T23:31:24Z",
    "title_canon_sha256": "e7925286b9aa50923b79c54b8d4622970ede2d7177e1cfc11d0083e86c2f5010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16988",
    "kind": "arxiv",
    "version": 1
  }
}