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Pith Number

pith:TW6BU6B2

pith:2013:TW6BU6B2H45KKG5UY5BJDMRYRK
not attested not anchored not stored refs pending

Uniform Anderson localization, unimodal eigenstates and simple spectra in a class of "haarsh" deterministic potentials

Victor Chulaevsky

arxiv:1307.7047 v4 · 2013-07-26 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TW6BU6B2H45KKG5UY5BJDMRYRK}

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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.
Receipt and verification
First computed 2026-05-18T02:58:57.008973Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9dbc1a783a3f3aa51bb4c74291b2388a9013f41c6a85867c812b8a41a58e644f

Aliases

arxiv: 1307.7047 · arxiv_version: 1307.7047v4 · doi: 10.48550/arxiv.1307.7047 · pith_short_12: TW6BU6B2H45K · pith_short_16: TW6BU6B2H45KKG5U · pith_short_8: TW6BU6B2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TW6BU6B2H45KKG5UY5BJDMRYRK \
  | 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: 9dbc1a783a3f3aa51bb4c74291b2388a9013f41c6a85867c812b8a41a58e644f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dbcfb52010843fd1439783831e45bcf3d04c306be10e37a1ff8ce62d211dd8bc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-26T14:35:09Z",
    "title_canon_sha256": "ca6390648d1f386e1e85446400d9006055c20cc7493fe4c68120c40ef5fd8c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7047",
    "kind": "arxiv",
    "version": 4
  }
}