Pith Number

pith:4NP7YLGR

pith:2011:4NP7YLGRC7ZBXKKRDNKJ3FVLWO

not attested not anchored not stored refs pending

Absolutely Continuous Spectrum for Random Schroedinger Operators on the Bethe Strip

Abel Klein, Christian Sadel

arxiv:1101.4328 v2 · 2011-01-22 · 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{4NP7YLGRC7ZBXKKRDNKJ3FVLWO}

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	2026-05-18T04:05:16.533359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35ffc2cd117f21ba9511b549d96abb3bfe99c79bd9629a6198d30a67e934c28

Aliases

arxiv: 1101.4328 · arxiv_version: 1101.4328v2 · doi: 10.48550/arxiv.1101.4328 · pith_short_12: 4NP7YLGRC7ZB · pith_short_16: 4NP7YLGRC7ZBXKKR · pith_short_8: 4NP7YLGR

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/4NP7YLGRC7ZBXKKRDNKJ3FVLWO \
  | 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: e35ffc2cd117f21ba9511b549d96abb3bfe99c79bd9629a6198d30a67e934c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35e06f57dbcc6a064f2016f0d6ed0691bb9ae5be56133686c934d5a34bedf29b",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-22T22:45:44Z",
    "title_canon_sha256": "29ac735c682e5f47d9a345d2e65d9acfc0c918f62f85a9870133c1a779abdb57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4328",
    "kind": "arxiv",
    "version": 2
  }
}