Pith Number

pith:OCACTMO2

pith:2012:OCACTMO2NZYTZWRVGOQLWK3F5Z

not attested not anchored not stored refs pending

Path integrals and the essential self-adjointness of differential operators on noncompact manifolds

Batu G\"uneysu, Olaf Post

arxiv:1206.6727 v3 · 2012-06-28 · math-ph · math.FA · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCACTMO2NZYTZWRVGOQLWK3F5Z}

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	2026-05-18T03:38:57.483772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708029b1da6e713cda3533a0bb2b65ee4324aaa68536205a35c9a7ee6fd0dc3e

Aliases

arxiv: 1206.6727 · arxiv_version: 1206.6727v3 · doi: 10.48550/arxiv.1206.6727 · pith_short_12: OCACTMO2NZYT · pith_short_16: OCACTMO2NZYTZWRV · pith_short_8: OCACTMO2

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/OCACTMO2NZYTZWRVGOQLWK3F5Z \
  | 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: 708029b1da6e713cda3533a0bb2b65ee4324aaa68536205a35c9a7ee6fd0dc3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65cc92a65bbf6a232e00c0be76dad1c49f206d972d7bde7fd44bd1b59d5d906f",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-28T15:25:02Z",
    "title_canon_sha256": "a7eab2b74662601fd809e95e45e26b360342c9c31c3c1530f81df6a065eef1cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6727",
    "kind": "arxiv",
    "version": 3
  }
}