Pith Number

pith:BUJBVKZK

pith:2011:BUJBVKZK6ID6F37KXOFGRXP7XV

not attested not anchored not stored refs pending

Block-Diagonalization of Operators with Gaps, with Applications to Dirac Operators

Jean-Claude Cuenin

arxiv:1111.1361 v1 · 2011-11-05 · 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{BUJBVKZK6ID6F37KXOFGRXP7XV}

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	2026-05-18T02:54:56.605286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d121aab2af207e2efeabb8a68ddffbd521a2782d3a2fd78b4166f6966b2332f

Aliases

arxiv: 1111.1361 · arxiv_version: 1111.1361v1 · doi: 10.48550/arxiv.1111.1361 · pith_short_12: BUJBVKZK6ID6 · pith_short_16: BUJBVKZK6ID6F37K · pith_short_8: BUJBVKZK

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/BUJBVKZK6ID6F37KXOFGRXP7XV \
  | 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: 0d121aab2af207e2efeabb8a68ddffbd521a2782d3a2fd78b4166f6966b2332f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7efe18b85f561f987051fea60c59c9ef10e9bd081c2163062a57de4a62f4711f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-11-05T23:37:57Z",
    "title_canon_sha256": "d5e05746a08d1f463cc743aa9c45bc29c47706baad828c5208a6ce0628fa368f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1361",
    "kind": "arxiv",
    "version": 1
  }
}