Pith Number

pith:NSWOQ2AY

pith:2013:NSWOQ2AYPW3DJ6MJGGADMGYQM2

not attested not anchored not stored refs pending

Lifshitz Tails for Anderson Models with Sign-Indefinite Single-Site Potentials

Zhongwei Shen

arxiv:1306.3205 v1 · 2013-06-13 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSWOQ2AYPW3DJ6MJGGADMGYQM2}

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	2026-05-18T03:20:59.319125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cace868187db634f9893180361b1066b306972ba94bc4db329fcb7a1f5f2d78

Aliases

arxiv: 1306.3205 · arxiv_version: 1306.3205v1 · doi: 10.48550/arxiv.1306.3205 · pith_short_12: NSWOQ2AYPW3D · pith_short_16: NSWOQ2AYPW3DJ6MJ · pith_short_8: NSWOQ2AY

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/NSWOQ2AYPW3DJ6MJGGADMGYQM2 \
  | 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: 6cace868187db634f9893180361b1066b306972ba94bc4db329fcb7a1f5f2d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60941400f0e0b43e74d23c973cb2f5d21b4abba628a455a8ed3543571f508376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-06-13T19:30:18Z",
    "title_canon_sha256": "9607a78a550b8f77472af1f4c9003593ec1e5641d23a9b35aab84486a4e7eb32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3205",
    "kind": "arxiv",
    "version": 1
  }
}