Pith Number

pith:3S3Q3NZH

pith:2010:3S3Q3NZHV2BW7CQED4YVB4FLMY

not attested not anchored not stored refs pending

Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime

Diego A. Wisniacki, Ignacio Garcia-Mata

arxiv:1009.0725 v2 · 2010-09-03 · nlin.CD · quant-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3S3Q3NZHV2BW7CQED4YVB4FLMY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:18:46.201591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcb70db727ae836f8a041f3150f0ab66078974b2770b049e4688c0a4ac3a8e7d

Aliases

arxiv: 1009.0725 · arxiv_version: 1009.0725v2 · doi: 10.48550/arxiv.1009.0725 · pith_short_12: 3S3Q3NZHV2BW · pith_short_16: 3S3Q3NZHV2BW7CQE · pith_short_8: 3S3Q3NZH

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/3S3Q3NZHV2BW7CQED4YVB4FLMY \
  | 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: dcb70db727ae836f8a041f3150f0ab66078974b2770b049e4688c0a4ac3a8e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9719122946e934515c38b92835582e9441357d2e88754680cc15c9f28be0ff",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-09-03T17:09:38Z",
    "title_canon_sha256": "b318cbb7af4bee55adb4207437a96d419dd0a6b0ea1b7eff652dda3aab49150e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0725",
    "kind": "arxiv",
    "version": 2
  }
}