Pith Number

pith:QDB2V7OY

pith:2019:QDB2V7OYLY5O5R2PYRJJV2H6LI

not attested not anchored not stored refs pending

Laplacians with point interactions -- expected and unexpected spectral properties

Amru Hussein, Delio Mugnolo

arxiv:1906.00475 v1 · 2019-06-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDB2V7OYLY5O5R2PYRJJV2H6LI}

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	2026-07-05T01:58:39.307917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80c3aafdd85e3aeec74fc4529ae8fe5a2607dc6b518f2f32150c96ae853bffeb

Aliases

arxiv: 1906.00475 · arxiv_version: 1906.00475v1 · doi: 10.48550/arxiv.1906.00475 · pith_short_12: QDB2V7OYLY5O · pith_short_16: QDB2V7OYLY5O5R2P · pith_short_8: QDB2V7OY

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/QDB2V7OYLY5O5R2PYRJJV2H6LI \
  | 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: 80c3aafdd85e3aeec74fc4529ae8fe5a2607dc6b518f2f32150c96ae853bffeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9344751a4012099bedf47d22c1dc6268eff4b200cac17398d6716800d47b79aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-02T20:22:43Z",
    "title_canon_sha256": "3d90b4da08388e9cb10781c0fa03674267d31cb5bbfb5179f7d96be7a6f2ae3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00475",
    "kind": "arxiv",
    "version": 1
  }
}