Pith Number

pith:YQPQNLHN

pith:2012:YQPQNLHNKWZEB7ASDJKUVEAMRR

not attested not anchored not stored refs pending

Induced and reduced unbounded operator algebras

Atsushi Inoue, Camillo TRapani, Fabio Bagarello

arxiv:1207.2021 v1 · 2012-07-09 · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQPQNLHNKWZEB7ASDJKUVEAMRR}

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.

Cited by

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Receipt and verification

First computed	2026-05-18T03:51:26.257006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c41f06aced55b240fc121a554a900c8c4e403cf6b96205a1f06b99f6c59c2e7e

Aliases

arxiv: 1207.2021 · arxiv_version: 1207.2021v1 · doi: 10.48550/arxiv.1207.2021 · pith_short_12: YQPQNLHNKWZE · pith_short_16: YQPQNLHNKWZEB7AS · pith_short_8: YQPQNLHN

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/YQPQNLHNKWZEB7ASDJKUVEAMRR \
  | 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: c41f06aced55b240fc121a554a900c8c4e403cf6b96205a1f06b99f6c59c2e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e34daa5ef259b7671650291a45541a4dae9fb633c531dc45315018d5a5b9a57",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-09T12:15:52Z",
    "title_canon_sha256": "c82942eab188e96631f715fb0b050bd56fafad2ccfcade9be5c3ede1c6adbf75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2021",
    "kind": "arxiv",
    "version": 1
  }
}