Pith Number

pith:P3CKAJHM

pith:2019:P3CKAJHM5PHPEE6XAPKKZRQISS

not attested not anchored not stored refs pending

The dependence of Lyapunov exponents of polynomials on its coefficients

Atma Ram Tiwari, Shrihari Sridharan

arxiv:1906.03864 v1 · 2019-06-10 · 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{P3CKAJHM5PHPEE6XAPKKZRQISS}

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	2026-05-17T23:43:44.692544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec4a024ecebcef213d703d4acc60894af9ab7d5039743e2309222b666ea61a1

Aliases

arxiv: 1906.03864 · arxiv_version: 1906.03864v1 · doi: 10.48550/arxiv.1906.03864 · pith_short_12: P3CKAJHM5PHP · pith_short_16: P3CKAJHM5PHPEE6X · pith_short_8: P3CKAJHM

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/P3CKAJHM5PHPEE6XAPKKZRQISS \
  | 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: 7ec4a024ecebcef213d703d4acc60894af9ab7d5039743e2309222b666ea61a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975e757dca07808b89bbb32e604900ca914d5717067f3aee81775f387524bbd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-10T09:30:05Z",
    "title_canon_sha256": "a73f835439b1603804e4d47bc10090dcb8a8a064fd58d29fe7557bfeb082db6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03864",
    "kind": "arxiv",
    "version": 1
  }
}