Pith Number

pith:64BHLE4R

pith:2015:64BHLE4RYJQH76FXJIQCZQEDJZ

not attested not anchored not stored refs pending

Classical Converse Theorems in Lyapunov's Second Method

Christopher M. Kellett

arxiv:1502.04809 v2 · 2015-02-17 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64BHLE4RYJQH76FXJIQCZQEDJZ}

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	2026-05-18T01:09:29.827898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f702759391c2607ff8b74a202cc0834e6e8d5b2dca5c722d2e929037d0d8c598

Aliases

arxiv: 1502.04809 · arxiv_version: 1502.04809v2 · doi: 10.48550/arxiv.1502.04809 · pith_short_12: 64BHLE4RYJQH · pith_short_16: 64BHLE4RYJQH76FX · pith_short_8: 64BHLE4R

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/64BHLE4RYJQH76FXJIQCZQEDJZ \
  | 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: f702759391c2607ff8b74a202cc0834e6e8d5b2dca5c722d2e929037d0d8c598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c729a6582f9a6e70d55c9efec88fbaf65456802bb85b0b31e0dd8e8ddf7ff504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-02-17T06:34:07Z",
    "title_canon_sha256": "3ba661e516919c5fc9bc800bef87efc10729639cee18167c53be83058f220ea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04809",
    "kind": "arxiv",
    "version": 2
  }
}