Pith Number

pith:QGEVJQLZ

pith:2012:QGEVJQLZP4YMZBN4KWUGWFIVHE

not attested not anchored not stored refs pending

Sectorial perturbations of self-adjoint matrices and operators

E. B. Davies

arxiv:1206.1703 v1 · 2012-06-08 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGEVJQLZP4YMZBN4KWUGWFIVHE}

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	2026-05-18T02:57:53.479964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818954c1797f30cc85bc55a86b1515391ba2f757bd98eb5fd720e3061aff9053

Aliases

arxiv: 1206.1703 · arxiv_version: 1206.1703v1 · doi: 10.48550/arxiv.1206.1703 · pith_short_12: QGEVJQLZP4YM · pith_short_16: QGEVJQLZP4YMZBN4 · pith_short_8: QGEVJQLZ

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/QGEVJQLZP4YMZBN4KWUGWFIVHE \
  | 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: 818954c1797f30cc85bc55a86b1515391ba2f757bd98eb5fd720e3061aff9053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36c54abd8d07f1950308b3c531532100fe912e85e62dccd68f175171eff82ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-06-08T08:51:17Z",
    "title_canon_sha256": "3ea205887b4bc407dddc275c451c0c5b1bed1c3368aea97cb00ff0e04a43f976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1703",
    "kind": "arxiv",
    "version": 1
  }
}