Pith Number

pith:5AG7IMOH

pith:2012:5AG7IMOHSHUN7P5H22RLRB5XOK

not attested not anchored not stored refs pending

Lyapunov spectra for all symmetry classes of quasi-one-dimensional disordered systems of non-interacting Fermions

Andreas W. W. Ludwig, Hermann Schulz-Baldes, Michael Stolz

arxiv:1212.0322 v3 · 2012-12-03 · math-ph · cond-mat.dis-nn · 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{5AG7IMOHSHUN7P5H22RLRB5XOK}

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	2026-05-18T01:01:09.614353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e80df431c791e8dfbfa7d6a2b887b772a3bb07310aff4733edb83388368653a5

Aliases

arxiv: 1212.0322 · arxiv_version: 1212.0322v3 · doi: 10.48550/arxiv.1212.0322 · pith_short_12: 5AG7IMOHSHUN · pith_short_16: 5AG7IMOHSHUN7P5H · pith_short_8: 5AG7IMOH

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/5AG7IMOHSHUN7P5H22RLRB5XOK \
  | 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: e80df431c791e8dfbfa7d6a2b887b772a3bb07310aff4733edb83388368653a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee026c3d82d3edf8c1f1ead76ddf9760c516a73cc3f45f19bf68cc8c851a07f4",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-03T08:59:22Z",
    "title_canon_sha256": "8db9f61f5986e9b04c76b5dc0275abf4ae7267858e3c826d66982b4bcb828487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0322",
    "kind": "arxiv",
    "version": 3
  }
}