Pith Number

pith:OXM5OFGH

pith:2010:OXM5OFGHCFMBKEAR6SPBB4EDWS

not attested not anchored not stored refs pending

Asymptotic ergodicity of the eigenvalues of random operators in the localized phase

Fr\'ed\'eric Klopp (LAGA)

arxiv:1012.0831 v2 · 2010-12-03 · math.SP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXM5OFGHCFMBKEAR6SPBB4EDWS}

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	2026-05-18T04:21:22.456022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75d9d714c71158151011f49e10f083b4b35e415370430b715c15ae18ca7f244a

Aliases

arxiv: 1012.0831 · arxiv_version: 1012.0831v2 · doi: 10.48550/arxiv.1012.0831 · pith_short_12: OXM5OFGHCFMB · pith_short_16: OXM5OFGHCFMBKEAR · pith_short_8: OXM5OFGH

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/OXM5OFGHCFMBKEAR6SPBB4EDWS \
  | 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: 75d9d714c71158151011f49e10f083b4b35e415370430b715c15ae18ca7f244a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "391cf9956049686da2f91b6fcfce15a571ae46f06c4253080508eec69bb45358",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-03T20:08:40Z",
    "title_canon_sha256": "2f88b289404f76f5ea81db7895339dc186a0eadb29ed6e93ea9e39b76250678a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0831",
    "kind": "arxiv",
    "version": 2
  }
}