Pith Number

pith:UO6M6AFZ

pith:2013:UO6M6AFZ6RTDE5PMXRMEA5BDEX

not attested not anchored not stored refs pending

Calculus of Operators: Covariant Transform and Relative Convolutions

Vladimir V. Kisil

arxiv:1304.2792 v3 · 2013-04-09 · math.RT · math-ph · math.FA · math.MP · math.OA · 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{UO6M6AFZ6RTDE5PMXRMEA5BDEX}

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	2026-05-18T02:55:20.648463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3bccf00b9f4663275ecbc5840742325d4284808aae8b274cddad3baa314f81b

Aliases

arxiv: 1304.2792 · arxiv_version: 1304.2792v3 · doi: 10.48550/arxiv.1304.2792 · pith_short_12: UO6M6AFZ6RTD · pith_short_16: UO6M6AFZ6RTDE5PM · pith_short_8: UO6M6AFZ

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/UO6M6AFZ6RTDE5PMXRMEA5BDEX \
  | 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: a3bccf00b9f4663275ecbc5840742325d4284808aae8b274cddad3baa314f81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070954e15f6222b81e5cda5b4848feed76bf6821c08c4e717e84767a8f232356",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-09T20:44:35Z",
    "title_canon_sha256": "df7a981b5f6fb7abda3072b8826f45726ab91890d0b1b62b997278e69e804618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2792",
    "kind": "arxiv",
    "version": 3
  }
}