Pith Number

pith:UXVZTVG3

pith:2012:UXVZTVG3ZPKQEJFB5JOAEZRGVW

not attested not anchored not stored refs pending

A transformation rule for the index of commuting operators

Jens Kaad, Ryszard Nest

arxiv:1208.1862 v2 · 2012-08-09 · math.KT · 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{UXVZTVG3ZPKQEJFB5JOAEZRGVW}

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	2026-05-18T03:42:33.683005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5eb99d4dbcbd50224a1ea5c026626ad8702a65867bb75cafc416ca9528f4f4c

Aliases

arxiv: 1208.1862 · arxiv_version: 1208.1862v2 · doi: 10.48550/arxiv.1208.1862 · pith_short_12: UXVZTVG3ZPKQ · pith_short_16: UXVZTVG3ZPKQEJFB · pith_short_8: UXVZTVG3

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/UXVZTVG3ZPKQEJFB5JOAEZRGVW \
  | 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: a5eb99d4dbcbd50224a1ea5c026626ad8702a65867bb75cafc416ca9528f4f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d782b43b02307d4299a68c8b0fc3fe16802e9c26dffbed6d083fe7ef956f46b9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-08-09T10:25:23Z",
    "title_canon_sha256": "06b15519d3d57e28cd900d8efb34675643875b116d9bf071a5cb58f9244f4e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1862",
    "kind": "arxiv",
    "version": 2
  }
}