Pith Number

pith:Q62BCYFL

pith:2011:Q62BCYFLWZAOENOA6BWLF2JGY2

not attested not anchored not stored refs pending

Ballistic Behavior for Random Schr\"odinger Operators on the Bethe Strip

Abel Klein, Christian Sadel

arxiv:1106.1689 v2 · 2011-06-08 · 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{Q62BCYFLWZAOENOA6BWLF2JGY2}

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	2026-05-18T04:05:16.473623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87b41160abb640e235c0f06cb2e926c69c02ae42d0468552ac0fa85be9a4caeb

Aliases

arxiv: 1106.1689 · arxiv_version: 1106.1689v2 · doi: 10.48550/arxiv.1106.1689 · pith_short_12: Q62BCYFLWZAO · pith_short_16: Q62BCYFLWZAOENOA · pith_short_8: Q62BCYFL

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/Q62BCYFLWZAOENOA6BWLF2JGY2 \
  | 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: 87b41160abb640e235c0f06cb2e926c69c02ae42d0468552ac0fa85be9a4caeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4da5ef6414112f46bdb87d3fef80864257055a71c03db9ca8f63646f0b52eb8d",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-08T23:55:29Z",
    "title_canon_sha256": "b380ab64887608ef8e03ba3f15c9052ab784e2e8e46871e02e1f2667050c10e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1689",
    "kind": "arxiv",
    "version": 2
  }
}