Pith Number

pith:KD4TBXDM

pith:2011:KD4TBXDMRVKVZBXQSBIORNJ45A

not attested not anchored not stored refs pending

Weak commutation relations of unbounded operators and applications

Atsushi Inoue, Camillo TRapani, Fabio Bagarello

arxiv:1110.6543 v1 · 2011-10-29 · 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{KD4TBXDMRVKVZBXQSBIORNJ45A}

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	2026-05-18T01:59:50.152822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f930dc6c8d555c86f09050e8b53ce839df733bf8e1b8f7e635c9e4f4210364

Aliases

arxiv: 1110.6543 · arxiv_version: 1110.6543v1 · doi: 10.48550/arxiv.1110.6543 · pith_short_12: KD4TBXDMRVKV · pith_short_16: KD4TBXDMRVKVZBXQ · pith_short_8: KD4TBXDM

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/KD4TBXDMRVKVZBXQSBIORNJ45A \
  | 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: 50f930dc6c8d555c86f09050e8b53ce839df733bf8e1b8f7e635c9e4f4210364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700d4901768e8c2f01cd524931bdcb71292c345f8b913d7ef24bbd0bc47ed21e",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-29T17:39:36Z",
    "title_canon_sha256": "5110c51612c2ccb35ddc9776378b62373d74da31174e9822f3d01dd0d3802b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6543",
    "kind": "arxiv",
    "version": 1
  }
}