Pith Number

pith:6FY7G6MY

pith:2018:6FY7G6MYAFR4XSEBER2TDKLEH5

not attested not anchored not stored refs pending

Lyapunov spectrum of nonautonomous linear Young differential equations

Luu Hoang Duc, Nguyen Dinh Cong, Phan Thanh Hong

arxiv:1807.02680 v3 · 2018-07-07 · 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{6FY7G6MYAFR4XSEBER2TDKLEH5}

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	2026-05-17T23:53:51.139685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f171f379980163cbc881247531a9643f4089922f6f76c770eca21ba1980d2de7

Aliases

arxiv: 1807.02680 · arxiv_version: 1807.02680v3 · doi: 10.48550/arxiv.1807.02680 · pith_short_12: 6FY7G6MYAFR4 · pith_short_16: 6FY7G6MYAFR4XSEB · pith_short_8: 6FY7G6MY

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/6FY7G6MYAFR4XSEBER2TDKLEH5 \
  | 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: f171f379980163cbc881247531a9643f4089922f6f76c770eca21ba1980d2de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e0becb014feed6fc3ee9b05520fa325802095856a174118b6e6ac5a05156c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-07T15:50:10Z",
    "title_canon_sha256": "b5d78ce65f50392fc0ecafb41bc4b31237505e4d5399d85f3333c69711aa137d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02680",
    "kind": "arxiv",
    "version": 3
  }
}