Pith Number

pith:23N6UIBB

pith:2011:23N6UIBBH5C6A2L2EN73Y4YCGC

not attested not anchored not stored refs pending

Local approximation of observables and commutator bounds

Bruno Nachtergaele, Reinhard F. Werner, Volkher B. Scholz

arxiv:1103.5663 v1 · 2011-03-29 · math-ph · 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{23N6UIBBH5C6A2L2EN73Y4YCGC}

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	2026-05-18T03:18:26.922898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6dbea20213f45e0697a237fbc73023093e67334a9414211ffce60d33ce3326f

Aliases

arxiv: 1103.5663 · arxiv_version: 1103.5663v1 · doi: 10.48550/arxiv.1103.5663 · pith_short_12: 23N6UIBBH5C6 · pith_short_16: 23N6UIBBH5C6A2L2 · pith_short_8: 23N6UIBB

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/23N6UIBBH5C6A2L2EN73Y4YCGC \
  | 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: d6dbea20213f45e0697a237fbc73023093e67334a9414211ffce60d33ce3326f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "412790a1373f28c30e03f5ccd374e90db6759a7ed168a49341e16416cdfe34f3",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-29T14:43:12Z",
    "title_canon_sha256": "b14a845df73671c4bd5beecdf627c3832b0ec70970e1dab9a43a34e84b77714b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5663",
    "kind": "arxiv",
    "version": 1
  }
}