Pith Number

pith:ASOZEYYC

pith:2009:ASOZEYYCTRGRJJXE6LSGM3PA3R

not attested not anchored not stored refs pending

Algebraic and Dynamic Lyapunov Equations on Time Scales

Alice A. Ramos, Ian A. Gravagne, John M. Davis, Robert J. Marks II

arxiv:0910.1895 v1 · 2009-10-10 · math.OC · 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{ASOZEYYCTRGRJJXE6LSGM3PA3R}

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	2026-07-04T15:54:21.425856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

049d9263029c4d14a6e4f2e4666de0dc4ecb7d0a804228d87ef080b2033b0365

Aliases

arxiv: 0910.1895 · arxiv_version: 0910.1895v1 · doi: 10.48550/arxiv.0910.1895 · pith_short_12: ASOZEYYCTRGR · pith_short_16: ASOZEYYCTRGRJJXE · pith_short_8: ASOZEYYC

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/ASOZEYYCTRGRJJXE6LSGM3PA3R \
  | 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: 049d9263029c4d14a6e4f2e4666de0dc4ecb7d0a804228d87ef080b2033b0365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84baabf7ca70dfafe849a6e7edcdcf5bd7757e62b3e8f43220594dadda631c5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-10-10T04:01:31Z",
    "title_canon_sha256": "d379ead3d9079788a9ede583b7cd82ac36da1fc9005cc5f44c440d4258fc7247"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1895",
    "kind": "arxiv",
    "version": 1
  }
}