Pith Number

pith:A4OWHVUL

pith:2008:A4OWHVULWSJOKTU62XWV3H7YXB

not attested not anchored not stored refs pending

Quantization of the Hall conductance and delocalization in ergodic Landau Hamiltonians

Abel Klein, Fran\c{c}ois Germinet, Jeffrey H. Schenker

arxiv:0812.0392 v3 · 2008-12-01 · 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{A4OWHVULWSJOKTU62XWV3H7YXB}

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	2026-05-18T02:15:12.310652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071d63d68bb492e54e9ed5ed5d9ff8b8651b309bde016850adeda88d5fb439e9

Aliases

arxiv: 0812.0392 · arxiv_version: 0812.0392v3 · doi: 10.48550/arxiv.0812.0392 · pith_short_12: A4OWHVULWSJO · pith_short_16: A4OWHVULWSJOKTU6 · pith_short_8: A4OWHVUL

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/A4OWHVULWSJOKTU62XWV3H7YXB \
  | 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: 071d63d68bb492e54e9ed5ed5d9ff8b8651b309bde016850adeda88d5fb439e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06b3dbccd8810f65079f7f77f50790f21931a73023c960a09153a246f2dbcc5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-12-01T23:48:19Z",
    "title_canon_sha256": "bcdb6bae2ae9792edc499b90787722ef18271715c3a4af00b9d080331ec76ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0392",
    "kind": "arxiv",
    "version": 3
  }
}