Pith Number

pith:5W7EEYPI

pith:2013:5W7EEYPI53AE7AEBUK3W66HJCT

not attested not anchored not stored refs pending

Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary

Alberto Ibort, Fernando Lled\'o, Juan Manuel P\'erez-Pardo

arxiv:1308.0527 v1 · 2013-08-02 · math.SP · math-ph · math.FA · 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{5W7EEYPI53AE7AEBUK3W66HJCT}

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	2026-05-18T02:29:25.188938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edbe4261e8eec04f8081a2b76f78e914e5dd44f8cfef9689151fa7a011cc3ab8

Aliases

arxiv: 1308.0527 · arxiv_version: 1308.0527v1 · doi: 10.48550/arxiv.1308.0527 · pith_short_12: 5W7EEYPI53AE · pith_short_16: 5W7EEYPI53AE7AEB · pith_short_8: 5W7EEYPI

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/5W7EEYPI53AE7AEBUK3W66HJCT \
  | 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: edbe4261e8eec04f8081a2b76f78e914e5dd44f8cfef9689151fa7a011cc3ab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734b6fbfb0ceb52ed90bc49af4e311627ba7ab641eba80361092daf692cf8f5f",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-08-02T15:14:49Z",
    "title_canon_sha256": "7f6a64939ddb6dd9ad7b58e9687e67b21d571baeede3d72b3817e18067ff9cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0527",
    "kind": "arxiv",
    "version": 1
  }
}