Pith Number

pith:FQSLOFLJ

pith:2010:FQSLOFLJR2UGW2XTM4XO2JKRJQ

not attested not anchored not stored refs pending

Lifshitz tails for alloy type models in a constant magnetic field

Fr\'ed\'eric Klopp (LAGA)

arxiv:1005.0832 v2 · 2010-05-05 · math.SP · 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{FQSLOFLJR2UGW2XTM4XO2JKRJQ}

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	2026-05-18T02:07:42.551707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c24b715698ea86b6af3672eed25514c3451d09c00b6f27a0c77db60b5941204

Aliases

arxiv: 1005.0832 · arxiv_version: 1005.0832v2 · doi: 10.48550/arxiv.1005.0832 · pith_short_12: FQSLOFLJR2UG · pith_short_16: FQSLOFLJR2UGW2XT · pith_short_8: FQSLOFLJ

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/FQSLOFLJR2UGW2XTM4XO2JKRJQ \
  | 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: 2c24b715698ea86b6af3672eed25514c3451d09c00b6f27a0c77db60b5941204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6a6cb30db5328a0722bc152bd4ae1a5d5502b5a52cb6d14beca423bf79a55a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-05-05T19:47:11Z",
    "title_canon_sha256": "821bed808f2bb2883d27e74cab28e9fdaddd0ef9f86a5632826a9986503c4c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0832",
    "kind": "arxiv",
    "version": 2
  }
}