Pith Number

pith:3JESLRA7

pith:2012:3JESLRA7QL53HUMZMUZDN6CRAK

not attested not anchored not stored refs pending

A Top-Down Account of Linear Canonical Transforms

Kurt Bernardo Wolf

arxiv:1206.1123 v1 · 2012-06-06 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JESLRA7QL53HUMZMUZDN6CRAK}

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	2026-05-18T03:54:06.892498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4925c41f82fbb3d199653236f8510298d54ec00c139561357b4d19cb3cb05d

Aliases

arxiv: 1206.1123 · arxiv_version: 1206.1123v1 · doi: 10.48550/arxiv.1206.1123 · pith_short_12: 3JESLRA7QL53 · pith_short_16: 3JESLRA7QL53HUMZ · pith_short_8: 3JESLRA7

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/3JESLRA7QL53HUMZMUZDN6CRAK \
  | 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: da4925c41f82fbb3d199653236f8510298d54ec00c139561357b4d19cb3cb05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54deab5a143dbfe8703decfd31d12ce378b11fdc6f2a46f1042cb822dab76baa",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-06T05:45:24Z",
    "title_canon_sha256": "46c307d9d0419a78c303606316caf9e309416e911739048b85da4a94568023ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1123",
    "kind": "arxiv",
    "version": 1
  }
}