Pith Number

pith:B3IXCQR6

pith:2011:B3IXCQR6NTDLUW4OQUMWTENWPC

not attested not anchored not stored refs pending

Discrete Schr\"odinger operators with random alloy-type potential

Alexander Elgart, Helge Kr\"uger, Ivan Veseli\'c, Martin Tautenhahn

arxiv:1107.2800 v1 · 2011-07-14 · math-ph · math.MP · 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{B3IXCQR6NTDLUW4OQUMWTENWPC}

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	2026-05-18T04:18:15.670355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed171423e6cc6ba5b8e85196991b678b315deb6289e401226fd40a3bc8b6daf

Aliases

arxiv: 1107.2800 · arxiv_version: 1107.2800v1 · doi: 10.48550/arxiv.1107.2800 · pith_short_12: B3IXCQR6NTDL · pith_short_16: B3IXCQR6NTDLUW4O · pith_short_8: B3IXCQR6

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/B3IXCQR6NTDLUW4OQUMWTENWPC \
  | 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: 0ed171423e6cc6ba5b8e85196991b678b315deb6289e401226fd40a3bc8b6daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20e9f0e34b4c1e50f88fc266d5056782aca2b6da4beacc883677b50c9b4d262",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-14T12:26:15Z",
    "title_canon_sha256": "88e02b02e112bd86dee08bc95bdc9030da61ae348ff45f64041b3366def0fe6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2800",
    "kind": "arxiv",
    "version": 1
  }
}