Pith Number

pith:Y27AJ2FU

pith:2014:Y27AJ2FUDGBIICJ7TRJMGF2GQ6

not attested not anchored not stored refs pending

Positive Lyapunov exponents for symplectic cocycles

Mario Bessa, Paulo Varandas

arxiv:1407.0336 v3 · 2014-07-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y27AJ2FUDGBIICJ7TRJMGF2GQ6}

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	2026-05-18T00:41:23.603070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6be04e8b4198284093f9c52c31746879f4aae442907efcba20235b02465b1b3

Aliases

arxiv: 1407.0336 · arxiv_version: 1407.0336v3 · doi: 10.48550/arxiv.1407.0336 · pith_short_12: Y27AJ2FUDGBI · pith_short_16: Y27AJ2FUDGBIICJ7 · pith_short_8: Y27AJ2FU

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/Y27AJ2FUDGBIICJ7TRJMGF2GQ6 \
  | 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: c6be04e8b4198284093f9c52c31746879f4aae442907efcba20235b02465b1b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247f822e24137638b1434ab4432eb4478e6c7618a97b9f6d6eb620b3e15b6ee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-01T18:03:34Z",
    "title_canon_sha256": "f399cec6bb9f78cbe4ec76e5dc61c09e662f8b6dd87d9dbaace6cfbb41e57dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0336",
    "kind": "arxiv",
    "version": 3
  }
}