Pith Number

pith:DIXO3GF2

pith:2023:DIXO3GF2LJPGPHLIH53UVA6BSI

not attested not anchored not stored refs pending

Essential self-adjointness of even-order, strongly singular, homogeneous half-line differential operators

Fritz Gesztesy, Gerald Teschl, Markus Hunziker

arxiv:2311.09771 v2 · 2023-11-16 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIXO3GF2LJPGPHLIH53UVA6BSI}

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	2026-07-05T07:13:46.547058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2eed98ba5a5e679d683f774a83c1922dfb6465aaeb53885312dea1901059a8

Aliases

arxiv: 2311.09771 · arxiv_version: 2311.09771v2 · doi: 10.48550/arxiv.2311.09771 · pith_short_12: DIXO3GF2LJPG · pith_short_16: DIXO3GF2LJPGPHLI · pith_short_8: DIXO3GF2

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/DIXO3GF2LJPGPHLIH53UVA6BSI \
  | 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: 1a2eed98ba5a5e679d683f774a83c1922dfb6465aaeb53885312dea1901059a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ae482b4bb32982e30ea7c3973127c5ee5056771f2bbac80b6022d3d2e59636a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2023-11-16T10:52:03Z",
    "title_canon_sha256": "6889db12f4d6eb0f91048fdb4491334135233b790c82ae99e8c2dc02d3b0d778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.09771",
    "kind": "arxiv",
    "version": 2
  }
}