Pith Number

pith:S67L2C6E

pith:2009:S67L2C6ED3UKY4IU2TEVZPOEVH

not attested not anchored not stored refs pending

Spectral Properties of Limit-Periodic Schr\"odinger Operators

David Damanik, Zheng Gan

arxiv:0906.3337 v3 · 2009-06-18 · 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{S67L2C6ED3UKY4IU2TEVZPOEVH}

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	2026-05-18T02:30:16.163707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bebd0bc41ee8ac7114d4c95cbdc4a9d8c892495838a15768490be0f6a1e625

Aliases

arxiv: 0906.3337 · arxiv_version: 0906.3337v3 · doi: 10.48550/arxiv.0906.3337 · pith_short_12: S67L2C6ED3UK · pith_short_16: S67L2C6ED3UKY4IU · pith_short_8: S67L2C6E

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/S67L2C6ED3UKY4IU2TEVZPOEVH \
  | 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: 97bebd0bc41ee8ac7114d4c95cbdc4a9d8c892495838a15768490be0f6a1e625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134e572cb5fd68fa2d791bb585561974bf85e3712742a84b86f47740bb59ebc2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-06-18T02:19:29Z",
    "title_canon_sha256": "5dd067f181c12f693a62686e2278d8b5a7bde100d28583276c451e99f6588bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3337",
    "kind": "arxiv",
    "version": 3
  }
}