Pith Number

pith:FV6YU244

pith:2011:FV6YU244NJBGQIQ4HGQXQ3LKQB

not attested not anchored not stored refs pending

Anderson localization for random magnetic Laplacian on Z^2

David Hasler, Laszlo Erdos

arxiv:1101.2139 v1 · 2011-01-11 · 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{FV6YU244NJBGQIQ4HGQXQ3LKQB}

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	2026-05-18T04:31:50.798927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7d8a6b9c6a4268221c39a1786d6a806a72ddcd009273cdd1d472089469e2c7

Aliases

arxiv: 1101.2139 · arxiv_version: 1101.2139v1 · doi: 10.48550/arxiv.1101.2139 · pith_short_12: FV6YU244NJBG · pith_short_16: FV6YU244NJBGQIQ4 · pith_short_8: FV6YU244

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/FV6YU244NJBGQIQ4HGQXQ3LKQB \
  | 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: 2d7d8a6b9c6a4268221c39a1786d6a806a72ddcd009273cdd1d472089469e2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430c1169ff620d02b01104cf878c1770add8ce0f13da3dab75628f665d911abd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-11T15:06:43Z",
    "title_canon_sha256": "00aabe5fe5a6fc4a4d6c59757a3f997f01bf4011e4e57eef30502424ac3981fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2139",
    "kind": "arxiv",
    "version": 1
  }
}