Pith Number

pith:DIDLZ7CK

pith:2012:DIDLZ7CKXFWEQOOFDX7RDHSSTR

not attested not anchored not stored refs pending

Lyapunov exponents, one-dimensional Anderson localisation and products of random matrices

Alain Comtet, Christophe Texier, Yves Tourigny

arxiv:1207.0725 v2 · 2012-07-03 · cond-mat.dis-nn · 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{DIDLZ7CKXFWEQOOFDX7RDHSSTR}

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	2026-05-18T03:15:43.860929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a06bcfc4ab96c4839c51dff119e529c53b0d92a7ef73d83170947fca7cfdd59

Aliases

arxiv: 1207.0725 · arxiv_version: 1207.0725v2 · doi: 10.48550/arxiv.1207.0725 · pith_short_12: DIDLZ7CKXFWE · pith_short_16: DIDLZ7CKXFWEQOOF · pith_short_8: DIDLZ7CK

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/DIDLZ7CKXFWEQOOFDX7RDHSSTR \
  | 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: 1a06bcfc4ab96c4839c51dff119e529c53b0d92a7ef73d83170947fca7cfdd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc08350dfd378d1212343ab57eb5bd8f07b1446a7720bb72ab9cf38e6cd9a75",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-07-03T15:46:29Z",
    "title_canon_sha256": "d24471c7582d620e13433e1084835279b63929d76df645fcc80853e33a1e1094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0725",
    "kind": "arxiv",
    "version": 2
  }
}