Pith Number

pith:BRSUYBCX

pith:2013:BRSUYBCX4L522EC4QHQBOYBU7E

not attested not anchored not stored refs pending

Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials

Ivan Veselic, Karsten Leonhardt, Martin Tautenhahn, Norbert Peyerimhoff

arxiv:1309.0109 v2 · 2013-08-31 · math.AP · 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{BRSUYBCX4L522EC4QHQBOYBU7E}

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	2026-05-18T01:23:30.008876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c654c0457e2fbad105c81e0176034f92d56e8c01e53777b4ec6044369327993

Aliases

arxiv: 1309.0109 · arxiv_version: 1309.0109v2 · doi: 10.48550/arxiv.1309.0109 · pith_short_12: BRSUYBCX4L52 · pith_short_16: BRSUYBCX4L522EC4 · pith_short_8: BRSUYBCX

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/BRSUYBCX4L522EC4QHQBOYBU7E \
  | 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: 0c654c0457e2fbad105c81e0176034f92d56e8c01e53777b4ec6044369327993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b0e2e74f127ae13e7d0dd598be56ef727bda416f780084d0002027eb3e47d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-31T13:07:18Z",
    "title_canon_sha256": "b7608b939a34a3e2f832011e5b0d1decd3d9e95d58717229855f04e411e6aa7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0109",
    "kind": "arxiv",
    "version": 2
  }
}