Pith Number

pith:DKN4LSU5

pith:2013:DKN4LSU5MLJLM4JDL6IAQDVBSS

not attested not anchored not stored refs pending

Semiclassical inverse spectral theory for singularities of focus-focus type

\'Alvaro Pelayo, San V\~u Ngoc

arxiv:1302.2260 v1 · 2013-02-09 · math-ph · math.MP · math.SG · 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{DKN4LSU5MLJLM4JDL6IAQDVBSS}

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	2026-05-18T01:51:43.035483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a9bc5ca9d62d2b671235f90080ea19482181966242e7dfd8c6bc0b6bc1f5fd2

Aliases

arxiv: 1302.2260 · arxiv_version: 1302.2260v1 · doi: 10.48550/arxiv.1302.2260 · pith_short_12: DKN4LSU5MLJL · pith_short_16: DKN4LSU5MLJLM4JD · pith_short_8: DKN4LSU5

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/DKN4LSU5MLJLM4JDL6IAQDVBSS \
  | 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: 1a9bc5ca9d62d2b671235f90080ea19482181966242e7dfd8c6bc0b6bc1f5fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc6f7f05727beb2b01c67e3affa961ac4dd57c294815f550d71a25b42e15d6b",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-09T19:34:24Z",
    "title_canon_sha256": "395ee0c8affcaa5dbfaa09ff51b2cc1405aff92a54b1c9b25aaf3712f921d40d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2260",
    "kind": "arxiv",
    "version": 1
  }
}