Pith Number

pith:7OS2MHTL

pith:2011:7OS2MHTLRC5KKGFFVPDVKGZXML

not attested not anchored not stored refs pending

C*-algebras associated with some second order differential operators

E Brian Davies, Vladimir Georgescu

arxiv:1103.3880 v2 · 2011-03-20 · math.SP · 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{7OS2MHTLRC5KKGFFVPDVKGZXML}

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	2026-05-18T04:04:53.426775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba5a61e6b88baa518a5abc7551b3762d8c6de1838fe110e8857e7648426eac4

Aliases

arxiv: 1103.3880 · arxiv_version: 1103.3880v2 · doi: 10.48550/arxiv.1103.3880 · pith_short_12: 7OS2MHTLRC5K · pith_short_16: 7OS2MHTLRC5KKGFF · pith_short_8: 7OS2MHTL

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/7OS2MHTLRC5KKGFFVPDVKGZXML \
  | 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: fba5a61e6b88baa518a5abc7551b3762d8c6de1838fe110e8857e7648426eac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b2a736970470760631c98f77721a949d99f3d869eb1b28c4b24415f48026c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-20T19:14:44Z",
    "title_canon_sha256": "844a413cac3b868fbb997afdd078f84825cddcdab66a9eba96fe21f7330be8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3880",
    "kind": "arxiv",
    "version": 2
  }
}