Pith Number

pith:2GJ4KDH3

pith:2024:2GJ4KDH3ENZEGVMHA5Z52GGYET

not attested not anchored not stored refs pending

Sharp arithmetic localization for quasiperiodic operators with monotone potentials

Ilya Kachkovskiy, Svetlana Jitomirskaya

arxiv:2407.00703 v1 · 2024-06-30 · 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{2GJ4KDH3ENZEGVMHA5Z52GGYET}

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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.

Cited by

1 paper in Pith

Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials

Receipt and verification

First computed	2026-07-05T08:38:23.607215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d193c50cfb23724355870773dd18d824e568173b8a2a5c97ab713b56fb78fd86

Aliases

arxiv: 2407.00703 · arxiv_version: 2407.00703v1 · doi: 10.48550/arxiv.2407.00703 · pith_short_12: 2GJ4KDH3ENZE · pith_short_16: 2GJ4KDH3ENZEGVMH · pith_short_8: 2GJ4KDH3

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/2GJ4KDH3ENZEGVMHA5Z52GGYET \
  | 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: d193c50cfb23724355870773dd18d824e568173b8a2a5c97ab713b56fb78fd86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9037b343c4f25326d7f88a4db9255c0a7c572658e87a90a98099bca2fc59e94",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-06-30T14:07:47Z",
    "title_canon_sha256": "1e08d4af381b2dee445b0edc5bc9b5ac38cb03b50ac31f6172c7eaa761ee1e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.00703",
    "kind": "arxiv",
    "version": 1
  }
}