Pith Number

pith:Z7OOTSJC

pith:2013:Z7OOTSJCALPXY22WMECP6NSYFC

not attested not anchored not stored refs pending

Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed trap

Andrii Khrabustovskyi, Evgeni Khruslov

arxiv:1301.2926 v1 · 2013-01-14 · math.SP · math-ph · math.AP · 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{Z7OOTSJCALPXY22WMECP6NSYFC}

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	2026-05-18T03:01:10.954649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfdce9c92202df7c6b566104ff365828812a3dc7f7f3310df0782f9573a1059b

Aliases

arxiv: 1301.2926 · arxiv_version: 1301.2926v1 · doi: 10.48550/arxiv.1301.2926 · pith_short_12: Z7OOTSJCALPX · pith_short_16: Z7OOTSJCALPXY22W · pith_short_8: Z7OOTSJC

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/Z7OOTSJCALPXY22WMECP6NSYFC \
  | 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: cfdce9c92202df7c6b566104ff365828812a3dc7f7f3310df0782f9573a1059b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1fef686da98d97c0207d569ee51f7ea5ee7bb1f100b7b50261420e84ecdb62",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-14T11:20:46Z",
    "title_canon_sha256": "66ea353bdab245214188be12f2f9340d61defabf8058fd8a39bbf77a761ec833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2926",
    "kind": "arxiv",
    "version": 1
  }
}