Pith Number

pith:LYUGYQVH

pith:2016:LYUGYQVHEUZW4MRK2OF3ORWHRE

not attested not anchored not stored refs pending

Continuity of Lyapunov exponents in the C0 topology

Jiagang Yang, Marcelo Viana

arxiv:1612.09361 v1 · 2016-12-30 · 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{LYUGYQVHEUZW4MRK2OF3ORWHRE}

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	2026-05-18T00:53:41.705339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e286c42a725336e322ad38bb746c7891a01e6d0b688419a3810c2850269709f

Aliases

arxiv: 1612.09361 · arxiv_version: 1612.09361v1 · doi: 10.48550/arxiv.1612.09361 · pith_short_12: LYUGYQVHEUZW · pith_short_16: LYUGYQVHEUZW4MRK · pith_short_8: LYUGYQVH

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/LYUGYQVHEUZW4MRK2OF3ORWHRE \
  | 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: 5e286c42a725336e322ad38bb746c7891a01e6d0b688419a3810c2850269709f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1029a0d2db3c907205ca29b00d851cdec07729a1b68a545b3aa7f24125581e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-30T01:05:54Z",
    "title_canon_sha256": "994e4bb8583dc276c3c352086f168a93e5f8c26803a5245f03bfda8f967042e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09361",
    "kind": "arxiv",
    "version": 1
  }
}