Pith Number

pith:XZFCIYKJ

pith:2014:XZFCIYKJLC4OCLTWGO2BJSC5NL

not attested not anchored not stored refs pending

Lifschitz Tails for Random Schr\"{o}dinger Operator in Bernoulli Distributed Potentials

Jan Wehr, Michael Bishop, Vita Borovyk

arxiv:1403.5533 v1 · 2014-03-21 · 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{XZFCIYKJLC4OCLTWGO2BJSC5NL}

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	2026-05-18T01:43:52.463311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be4a24614958b8e12e7633b414c85d6ad3da0e7d958b728b566e93e6e5e7cfef

Aliases

arxiv: 1403.5533 · arxiv_version: 1403.5533v1 · doi: 10.48550/arxiv.1403.5533 · pith_short_12: XZFCIYKJLC4O · pith_short_16: XZFCIYKJLC4OCLTW · pith_short_8: XZFCIYKJ

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/XZFCIYKJLC4OCLTWGO2BJSC5NL \
  | 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: be4a24614958b8e12e7633b414c85d6ad3da0e7d958b728b566e93e6e5e7cfef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa908a51d8db0929ae58b456c1d727ee6aeefb586491703583df1741fdeea864",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-21T18:19:19Z",
    "title_canon_sha256": "b1f1c8e379cf42bc71ad72dff8da2a97718cf5dcc446e57c9d435e89a09bc02c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5533",
    "kind": "arxiv",
    "version": 1
  }
}