Pith Number

pith:CHA5OVNM

pith:2015:CHA5OVNMLY6I7MA3XZJ4VKXIJ7

not attested not anchored not stored refs pending

Dynamics and spectral theory of quasi-periodic Schr\"odinger-type operators

C. A. Marx, S. Jitomirskaya

arxiv:1503.05740 v2 · 2015-03-19 · 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{CHA5OVNMLY6I7MA3XZJ4VKXIJ7}

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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

Mobility edges in pseudo-unitary quasiperiodic quantum walks

Receipt and verification

First computed	2026-05-18T01:11:13.609514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c1d755ac5e3c8fb01bbe53caaae84fdd4148fd23a980f2c5ea9b727197a137

Aliases

arxiv: 1503.05740 · arxiv_version: 1503.05740v2 · doi: 10.48550/arxiv.1503.05740 · pith_short_12: CHA5OVNMLY6I · pith_short_16: CHA5OVNMLY6I7MA3 · pith_short_8: CHA5OVNM

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/CHA5OVNMLY6I7MA3XZJ4VKXIJ7 \
  | 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: 11c1d755ac5e3c8fb01bbe53caaae84fdd4148fd23a980f2c5ea9b727197a137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc9c93f2d4ce3ced6ac82b42460bc4e8aaaaa7873239a5a416b65504d2725243",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-19T12:35:51Z",
    "title_canon_sha256": "fcf37f9a35a22347cc7074c0c60b14b70f6890cb252a1f3915ec9a93e95c54f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05740",
    "kind": "arxiv",
    "version": 2
  }
}