Pith Number

pith:GSQ5HAHE

pith:2012:GSQ5HAHEKIJ5Z7XVQNJNQII7VC

not attested not anchored not stored refs pending

Spectral functions of non essentially selfadjoint operators

H. Falomir, P. A. G. Pisani

arxiv:1202.6332 v3 · 2012-02-28 · math-ph · hep-th · 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{GSQ5HAHEKIJ5Z7XVQNJNQII7VC}

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	2026-05-18T03:46:18.372683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34a1d380e45213dcfef58352d8211fa890b29803ca3c9b190e75ab1f18444650

Aliases

arxiv: 1202.6332 · arxiv_version: 1202.6332v3 · doi: 10.48550/arxiv.1202.6332 · pith_short_12: GSQ5HAHEKIJ5 · pith_short_16: GSQ5HAHEKIJ5Z7XV · pith_short_8: GSQ5HAHE

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/GSQ5HAHEKIJ5Z7XVQNJNQII7VC \
  | 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: 34a1d380e45213dcfef58352d8211fa890b29803ca3c9b190e75ab1f18444650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d3fb515f33f36cfdfd280869d05f30dc1d7593dbb980b6b59986a357be365d",
    "cross_cats_sorted": [
      "hep-th",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-28T19:42:23Z",
    "title_canon_sha256": "7557e6a0adc42b333f5ffb6048555404b94541e76cf1d8c4ca43e91b63f4a500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6332",
    "kind": "arxiv",
    "version": 3
  }
}