Pith Number

pith:O4ADPEUK

pith:2025:O4ADPEUK4ECZKDJBG3JTKSUSAU

not attested not anchored not stored refs pending

The head-wave transform

Antti Kykk\"anen, Maarten V. de Hoop, Rohit Kumar Mishra

arxiv:2509.01623 v2 · 2025-09-01 · 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{O4ADPEUK4ECZKDJBG3JTKSUSAU}

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	2026-06-25T00:18:11.561308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770037928ae105950d2136d3354a92053f8117d5d2a43a5b9d97daaaa0a9fc72

Aliases

arxiv: 2509.01623 · arxiv_version: 2509.01623v2 · doi: 10.48550/arxiv.2509.01623 · pith_short_12: O4ADPEUK4ECZ · pith_short_16: O4ADPEUK4ECZKDJB · pith_short_8: O4ADPEUK

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/O4ADPEUK4ECZKDJBG3JTKSUSAU \
  | 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: 770037928ae105950d2136d3354a92053f8117d5d2a43a5b9d97daaaa0a9fc72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3466adb389500441ed2102891cfd73e9c3438352d69b2e99f68b2bbef60264e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-09-01T17:08:19Z",
    "title_canon_sha256": "defc9a4d5691da4499f5575ca9a9fb21970a3c881ae3620ea27771894e847d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01623",
    "kind": "arxiv",
    "version": 2
  }
}