Pith Number

pith:JG47K2D4

pith:2017:JG47K2D4HXQL2BT5OGLAHJQ4JO

not attested not anchored not stored refs pending

Anderson localization for one-frequency quasi-periodic block operators with long-range interactions

Wenwen Jian, Xiaoping Yuan, Yunfeng Shi

arxiv:1711.08661 v2 · 2017-11-23 · math.SP · math-ph · math.DS · 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{JG47K2D4HXQL2BT5OGLAHJQ4JO}

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.

Receipt and verification

First computed	2026-05-18T00:06:25.364859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b9f5687c3de0bd067d719603a61c4bbc85037fad43ba85b0b9e7ab93191afe

Aliases

arxiv: 1711.08661 · arxiv_version: 1711.08661v2 · doi: 10.48550/arxiv.1711.08661 · pith_short_12: JG47K2D4HXQL · pith_short_16: JG47K2D4HXQL2BT5 · pith_short_8: JG47K2D4

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/JG47K2D4HXQL2BT5OGLAHJQ4JO \
  | 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: 49b9f5687c3de0bd067d719603a61c4bbc85037fad43ba85b0b9e7ab93191afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2917ff46c3488f295623352eab431a244fd3e053e543a280f6c1393099083e5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-23T11:43:31Z",
    "title_canon_sha256": "a74c33acbcf68ff76812f89ea7fd4143a4831f6b67c923dacf29c47c036a0395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08661",
    "kind": "arxiv",
    "version": 2
  }
}