Pith Number

pith:2UDYFA7D

pith:2007:2UDYFA7DYPZVZOTPFUEQHG23NH

not attested not anchored not stored refs pending

Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone

Jinsung Park, Klaus Kirsten, Paul Loya

arxiv:0709.1232 v1 · 2007-09-08 · math-ph · hep-th · 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{2UDYFA7DYPZVZOTPFUEQHG23NH}

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	2026-05-18T04:14:36.735534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5078283e3c3f35cba6f2d09039b5b69f9d56eeefbd443cd4cd1a86a78d9bcce

Aliases

arxiv: 0709.1232 · arxiv_version: 0709.1232v1 · doi: 10.48550/arxiv.0709.1232 · pith_short_12: 2UDYFA7DYPZV · pith_short_16: 2UDYFA7DYPZVZOTP · pith_short_8: 2UDYFA7D

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/2UDYFA7DYPZVZOTPFUEQHG23NH \
  | 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: d5078283e3c3f35cba6f2d09039b5b69f9d56eeefbd443cd4cd1a86a78d9bcce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e399e8f2a710884ebe77538c70e72a99c3d1d72f055307a771dbc90a9a15ed",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-09-08T20:20:09Z",
    "title_canon_sha256": "1e66af7bfd8b754a6aa4153271e7ca60475feda733b49c0b6ad9890b0198bf3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1232",
    "kind": "arxiv",
    "version": 1
  }
}