Pith Number

pith:BDPODYRI

pith:1999:BDPODYRINBJZX5BUEL2PTSG7OC

not attested not anchored not stored refs pending

Metal-insulator transition for the almost Mathieu operator

Svetlana Ya. Jitomirskaya

arxiv:math/9911265 v1 · 1999-11-01 · 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{BDPODYRINBJZX5BUEL2PTSG7OC}

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

Mobility edges in pseudo-unitary quasiperiodic quantum walks

Receipt and verification

First computed	2026-05-18T01:05:32.335826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08dee1e22868539bf43422f4f9c8df70af6dec2f296147cbb02af58fd6ca8178

Aliases

arxiv: math/9911265 · arxiv_version: math/9911265v1 · doi: 10.48550/arxiv.math/9911265 · pith_short_12: BDPODYRINBJZ · pith_short_16: BDPODYRINBJZX5BU · pith_short_8: BDPODYRI

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/BDPODYRINBJZX5BUEL2PTSG7OC \
  | 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: 08dee1e22868539bf43422f4f9c8df70af6dec2f296147cbb02af58fd6ca8178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea471db157e2167bf57a61be6068337fa24d17f8c7a6a263e4a74efbcd01ad0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "1999-11-01T00:00:00Z",
    "title_canon_sha256": "db1c508afcbb625927680771a47053cb2b0ff5845e2ab9496d61f27bbae77efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911265",
    "kind": "arxiv",
    "version": 1
  }
}