Pith Number

pith:EAZP4KLX

pith:2016:EAZP4KLXWPWCCDX4E3OPG3U44U

not attested not anchored not stored refs pending

Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms

Mauricio Poletti

arxiv:1605.00044 v5 · 2016-04-29 · 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{EAZP4KLXWPWCCDX4E3OPG3U44U}

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	2026-05-18T00:13:48.468209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2032fe2977b3ec210efc26dcf36e9ce508a093bbe0787991aab8283cc7e3dec5

Aliases

arxiv: 1605.00044 · arxiv_version: 1605.00044v5 · doi: 10.48550/arxiv.1605.00044 · pith_short_12: EAZP4KLXWPWC · pith_short_16: EAZP4KLXWPWCCDX4 · pith_short_8: EAZP4KLX

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/EAZP4KLXWPWCCDX4E3OPG3U44U \
  | 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: 2032fe2977b3ec210efc26dcf36e9ce508a093bbe0787991aab8283cc7e3dec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1eda573a645b7b09e2e997273989c4baab9385f21b0117df66dcda8e8787db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-29T23:50:40Z",
    "title_canon_sha256": "bd7d55abc8ccbaf6350888b0c93bab765cd530ea4cc225c261f0d5b27cffeb14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00044",
    "kind": "arxiv",
    "version": 5
  }
}