Pith Number

pith:ADDJ75G3

pith:2015:ADDJ75G3LVV262WXI5UUG7DEMB

not attested not anchored not stored refs pending

Homogeneity of the spectrum for quasi-periodic Schr\"odinger operators

David Damanik, Michael Goldstein, Mircea Voda, Wilhelm Schlag

arxiv:1505.04904 v1 · 2015-05-19 · 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{ADDJ75G3LVV262WXI5UUG7DEMB}

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	2026-05-18T00:04:50.548873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c69ff4db5d6baf6ad74769437c646066766ca2c9ac7156e5876845040d9a1e

Aliases

arxiv: 1505.04904 · arxiv_version: 1505.04904v1 · doi: 10.48550/arxiv.1505.04904 · pith_short_12: ADDJ75G3LVV2 · pith_short_16: ADDJ75G3LVV262WX · pith_short_8: ADDJ75G3

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/ADDJ75G3LVV262WXI5UUG7DEMB \
  | 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: 00c69ff4db5d6baf6ad74769437c646066766ca2c9ac7156e5876845040d9a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f04a987ebd87befe5098d9447bb92915c5f6528f13935f74908188a9e2ca16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-05-19T08:25:10Z",
    "title_canon_sha256": "5872f0cae72116acaa66a36c52c3b43059d7ac071848892e96cc73609c57039b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04904",
    "kind": "arxiv",
    "version": 1
  }
}