Pith Number

pith:XD2LDTDH

pith:2011:XD2LDTDHMH7SPEN22KYZ4ASEUS

not attested not anchored not stored refs pending

On self-adjoint operators in Krein spaces constructed by Clifford algebra Cl_2

Oleksii Patsiuk, Sergii Kuzhel

arxiv:1105.2969 v1 · 2011-05-15 · math.FA · 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{XD2LDTDHMH7SPEN22KYZ4ASEUS}

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	2026-05-18T04:00:59.757197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f4b1cc6761ff2791bad2b19e0244a4bfdcd41e9529fea86034e5785629e9d0

Aliases

arxiv: 1105.2969 · arxiv_version: 1105.2969v1 · doi: 10.48550/arxiv.1105.2969 · pith_short_12: XD2LDTDHMH7S · pith_short_16: XD2LDTDHMH7SPEN2 · pith_short_8: XD2LDTDH

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/XD2LDTDHMH7SPEN22KYZ4ASEUS \
  | 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: b8f4b1cc6761ff2791bad2b19e0244a4bfdcd41e9529fea86034e5785629e9d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abfb1f0183e9554b53ebe7c441156bcd9b1340b6b99ddfe62934ea5cd289eda3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-15T21:05:12Z",
    "title_canon_sha256": "b6d18a9f81281fa30320b0171829eea7ce7ac7e181e9450f1de762ca05dd2ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2969",
    "kind": "arxiv",
    "version": 1
  }
}