Pith Number

pith:U2PZUBE3

pith:2025:U2PZUBE367QOD7MDX5PUW7BBMG

not attested not anchored not stored refs pending

Twenty dry Martinis for the Unitary Almost Mathieu Operator

Christopher Cedzich, Long Li

arxiv:2503.06710 v1 · 2025-03-09 · math-ph · math.DS · math.MP · math.SP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2PZUBE367QOD7MDX5PUW7BBMG}

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.

Cited by

1 paper in Pith

Observation of Metal-Insulator and Spectral Phase Transitions in Aubry-Andr\'e-Harper Models

Receipt and verification

First computed	2026-07-05T10:27:40.608632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a69f9a049bf7e0e1fd83bf5f4b7c2161bfa0f75fcbf94b553c3af5a24465a86a

Aliases

arxiv: 2503.06710 · arxiv_version: 2503.06710v1 · doi: 10.48550/arxiv.2503.06710 · pith_short_12: U2PZUBE367QO · pith_short_16: U2PZUBE367QOD7MD · pith_short_8: U2PZUBE3

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/U2PZUBE367QOD7MDX5PUW7BBMG \
  | 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: a69f9a049bf7e0e1fd83bf5f4b7c2161bfa0f75fcbf94b553c3af5a24465a86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60ab5b01c4116d7740fa91de2efc17bb15f186c1166ab79f54a546aa4b6cace",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-03-09T18:00:01Z",
    "title_canon_sha256": "4f646cc637d78cb80021180cc2330c238138b75770fccc77d59749724cbc3d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06710",
    "kind": "arxiv",
    "version": 1
  }
}