Pith Number

pith:6QKH3CDU

pith:2017:6QKH3CDUIKT2MCUSXBTZU4WQTH

not attested not anchored not stored refs pending

Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set

Anna Florio, Olga Bernardi

arxiv:1708.08757 v2 · 2017-08-29 · 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{6QKH3CDUIKT2MCUSXBTZU4WQTH}

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	2026-05-18T00:12:48.756837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4147d887442a7a60a92b8679a72d099d6a4854f0540f77abbc391f1975e24ca

Aliases

arxiv: 1708.08757 · arxiv_version: 1708.08757v2 · doi: 10.48550/arxiv.1708.08757 · pith_short_12: 6QKH3CDUIKT2 · pith_short_16: 6QKH3CDUIKT2MCUS · pith_short_8: 6QKH3CDU

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/6QKH3CDUIKT2MCUSXBTZU4WQTH \
  | 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: f4147d887442a7a60a92b8679a72d099d6a4854f0540f77abbc391f1975e24ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc2172a178a04192fa59fe9a77d8d9749dca3ec695443f2a4adcf0fe7d7b524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-29T14:07:56Z",
    "title_canon_sha256": "ffb5c75d52706f72048bfe3432bb4441f1170e199d63a97ae1287d37a06da252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08757",
    "kind": "arxiv",
    "version": 2
  }
}