Pith Number

pith:NB7GZCS4

pith:2017:NB7GZCS4ZQPC6URFLZH6MQWUU6

not attested not anchored not stored refs pending

Lyapunov exponents of cocycles over non-uniformly hyperbolic systems

Boris Kalinin, Victoria Sadovskaya

arxiv:1707.05892 v1 · 2017-07-18 · 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{NB7GZCS4ZQPC6URFLZH6MQWUU6}

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	2026-05-18T00:39:59.017306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687e6c8a5ccc1e2f52255e4fe642d4a7b76d0ee2aa691db859b46cd348e8c2a8

Aliases

arxiv: 1707.05892 · arxiv_version: 1707.05892v1 · doi: 10.48550/arxiv.1707.05892 · pith_short_12: NB7GZCS4ZQPC · pith_short_16: NB7GZCS4ZQPC6URF · pith_short_8: NB7GZCS4

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/NB7GZCS4ZQPC6URFLZH6MQWUU6 \
  | 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: 687e6c8a5ccc1e2f52255e4fe642d4a7b76d0ee2aa691db859b46cd348e8c2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29dea7835fcb5ac1a2c85ad1749c5b0b6c2480b64e2b605acc084dc58d18b1f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-18T23:11:51Z",
    "title_canon_sha256": "a1f14453bbc2120c47f4cdfee7d8e34bb3ac67bd40bbcd663c775a9380f31879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05892",
    "kind": "arxiv",
    "version": 1
  }
}