Pith Number

pith:5WKP47QR

pith:2019:5WKP47QROCGRPUDNCJ663R2VOC

not attested not anchored not stored refs pending

Anderson-Bernoulli Localization on the 3D lattice and discrete unique continuation principle

Lingfu Zhang, Linjun Li

arxiv:1906.04350 v3 · 2019-06-11 · math.AP · math-ph · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WKP47QROCGRPUDNCJ663R2VOC}

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

Delocalization of One-Dimensional Random Band Matrices

Receipt and verification

First computed	2026-07-05T02:22:54.865613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed94fe7e11708d17d06d127dedc75570982bab3bf9e813122bbcad1d0c3fe19f

Aliases

arxiv: 1906.04350 · arxiv_version: 1906.04350v3 · doi: 10.48550/arxiv.1906.04350 · pith_short_12: 5WKP47QROCGR · pith_short_16: 5WKP47QROCGRPUDN · pith_short_8: 5WKP47QR

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/5WKP47QROCGRPUDNCJ663R2VOC \
  | 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: ed94fe7e11708d17d06d127dedc75570982bab3bf9e813122bbcad1d0c3fe19f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8375df697d48f710296d4eb1e18d8a4d8864502bbd643882d44f16571eb86a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-11T02:10:04Z",
    "title_canon_sha256": "c3682b4881f3a516120a4b53a0138ddc63befe8a61570f39ac8d014b41b41ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04350",
    "kind": "arxiv",
    "version": 3
  }
}