Pith Number

pith:XGWBB2NX

pith:2015:XGWBB2NXIKHF5EJ2G7NIC2RSW5

not attested not anchored not stored refs pending

Limit-Periodic Continuum Schr\"odinger Operators with Zero Measure Cantor Spectrum

David Damanik, Jake Fillman, Milivoje Lukic

arxiv:1508.04696 v2 · 2015-08-19 · 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{XGWBB2NXIKHF5EJ2G7NIC2RSW5}

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	2026-05-17T23:53:01.695361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ac10e9b7428e5e913a37da816a32b76a95b3cb9b803e13f49f1d122bc4bffd

Aliases

arxiv: 1508.04696 · arxiv_version: 1508.04696v2 · doi: 10.48550/arxiv.1508.04696 · pith_short_12: XGWBB2NXIKHF · pith_short_16: XGWBB2NXIKHF5EJ2 · pith_short_8: XGWBB2NX

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/XGWBB2NXIKHF5EJ2G7NIC2RSW5 \
  | 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: b9ac10e9b7428e5e913a37da816a32b76a95b3cb9b803e13f49f1d122bc4bffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b67409497c1668286d08ac0e6ab93ae88493d763b09ca5ba2e865d6e6c52503c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-08-19T16:38:04Z",
    "title_canon_sha256": "5eea2207f6c4aa9174b255aa21b8f873c8b1ba73ed65dbeb7c09d115b47dfb6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04696",
    "kind": "arxiv",
    "version": 2
  }
}