Pith Number

pith:XCJWJKZV

pith:2014:XCJWJKZVBTO7SMO7IEJ25FCRHF

not attested not anchored not stored refs pending

Spectral Homogeneity of Discrete One-Dimensional Limit-Periodic Operators

Jake Fillman

arxiv:1409.7734 v3 · 2014-09-26 · 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{XCJWJKZVBTO7SMO7IEJ25FCRHF}

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	2026-05-18T02:35:46.913460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b89364ab350cddf931df4113ae9451395bafdd7bd726f12f57fa5914a025a69f

Aliases

arxiv: 1409.7734 · arxiv_version: 1409.7734v3 · doi: 10.48550/arxiv.1409.7734 · pith_short_12: XCJWJKZVBTO7 · pith_short_16: XCJWJKZVBTO7SMO7 · pith_short_8: XCJWJKZV

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/XCJWJKZVBTO7SMO7IEJ25FCRHF \
  | 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: b89364ab350cddf931df4113ae9451395bafdd7bd726f12f57fa5914a025a69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b225cf1437e38a7b840e6da4d967adc54ff315877409a75a52f8ca5f440a07f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-26T21:40:45Z",
    "title_canon_sha256": "ac5a4c563d991a80bd8a3ba837233be37f972d35a00279152ef6dbfed0533bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7734",
    "kind": "arxiv",
    "version": 3
  }
}