Pith Number

pith:NM4JRC6S

pith:2011:NM4JRC6SZNMWGFUTXCJTLOZ5DA

not attested not anchored not stored refs pending

Symmetry properties of orthogonal and covariant Lyapunov vectors and their exponents

Harald A. Posch

arxiv:1107.4032 v2 · 2011-07-20 · nlin.CD · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NM4JRC6SZNMWGFUTXCJTLOZ5DA}

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	2026-05-18T03:52:14.982400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b38988bd2cb59631693b89335bb3d183e8dad2be127441ef6f318df313737b3

Aliases

arxiv: 1107.4032 · arxiv_version: 1107.4032v2 · doi: 10.48550/arxiv.1107.4032 · pith_short_12: NM4JRC6SZNMW · pith_short_16: NM4JRC6SZNMWGFUT · pith_short_8: NM4JRC6S

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/NM4JRC6SZNMWGFUTXCJTLOZ5DA \
  | 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: 6b38988bd2cb59631693b89335bb3d183e8dad2be127441ef6f318df313737b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b0a6ccd1e630a52015de99af39cc26b737dcee21abeb4307479679c63c024eb",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-07-20T16:55:23Z",
    "title_canon_sha256": "22ad28b8a1c4a3a8471c451ab765be35172250dcf429e7b66ab31dde498596bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4032",
    "kind": "arxiv",
    "version": 2
  }
}