Pith Number

pith:UNQQMKYN

pith:2015:UNQQMKYNUGJ6TUZTMB6T3TJLEK

not attested not anchored not stored refs pending

Self-adjoint extensions of differential operators on Riemannian manifolds

Francoise Truc (IF), Ognjen Milatovic (UNF)

arxiv:1505.05362 v1 · 2015-05-20 · math.SP · math-ph · 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{UNQQMKYNUGJ6TUZTMB6T3TJLEK}

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	2026-05-18T02:03:56.695933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a361062b0da193e9d333607d3dcd2b229dc542530b4d6f65556549c30df19c5e

Aliases

arxiv: 1505.05362 · arxiv_version: 1505.05362v1 · doi: 10.48550/arxiv.1505.05362 · pith_short_12: UNQQMKYNUGJ6 · pith_short_16: UNQQMKYNUGJ6TUZT · pith_short_8: UNQQMKYN

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/UNQQMKYNUGJ6TUZTMB6T3TJLEK \
  | 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: a361062b0da193e9d333607d3dcd2b229dc542530b4d6f65556549c30df19c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702c1f57296933b6a67cb158c72b009c9f5c713a832dc6fc6a3ce9b81dbfa2ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-05-20T13:18:10Z",
    "title_canon_sha256": "f2dd72f6f74fdcea15fe14ad4a1cd1fbec6c722cc94de16a1d4658441ec1618f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05362",
    "kind": "arxiv",
    "version": 1
  }
}