Pith Number

pith:C6EW3AHU

pith:2019:C6EW3AHUR6QPKUGWDR4PI453TH

not attested not anchored not stored refs pending

Lyapunov exponents of polynomials with respect to certain weighted Lyubich's measures

Atma Ram Tiwari, Shrihari Sridharan

arxiv:1908.07711 v1 · 2019-08-21 · 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{C6EW3AHUR6QPKUGWDR4PI453TH}

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	2026-07-04T23:59:00.593677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17896d80f48fa0f550d61c78f473bb99c65c7d6c71a12b42054af2bab1a0e33f

Aliases

arxiv: 1908.07711 · arxiv_version: 1908.07711v1 · doi: 10.48550/arxiv.1908.07711 · pith_short_12: C6EW3AHUR6QP · pith_short_16: C6EW3AHUR6QPKUGW · pith_short_8: C6EW3AHU

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/C6EW3AHUR6QPKUGWDR4PI453TH \
  | 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: 17896d80f48fa0f550d61c78f473bb99c65c7d6c71a12b42054af2bab1a0e33f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3271b8c2474d2ca1bc135ceb8338cdbe06f639a7fa71df82288738a1a0085b8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-21T05:16:13Z",
    "title_canon_sha256": "58902d9f23d146502dda4be4fc194a605ac8a21710962866bc7334f76d8d856f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07711",
    "kind": "arxiv",
    "version": 1
  }
}