Pith Number

pith:VF5UZVC3

pith:2018:VF5UZVC3MVMWRXBKXBFCLUTKEU

not attested not anchored not stored refs pending

Lyapunov functions for nabla discrete fractional order systems

Tianyu Liu, Yiheng Wei, Yong Wang, Yuquan Chen

arxiv:1812.11368 v2 · 2018-12-29 · math.DS · eess.SP

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\usepackage{pith}
\pithnumber{VF5UZVC3MVMWRXBKXBFCLUTKEU}

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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.

Cited by

1 paper in Pith

Analytical calculation of the inverse nabla Laplace transform

Receipt and verification

First computed	2026-07-05T05:22:25.205944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97b4cd45b655968dc2ab84a25d26a2517b29540ec9e6f9432075da46579bcd8

Aliases

arxiv: 1812.11368 · arxiv_version: 1812.11368v2 · doi: 10.48550/arxiv.1812.11368 · pith_short_12: VF5UZVC3MVMW · pith_short_16: VF5UZVC3MVMWRXBK · pith_short_8: VF5UZVC3

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/VF5UZVC3MVMWRXBKXBFCLUTKEU \
  | 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: a97b4cd45b655968dc2ab84a25d26a2517b29540ec9e6f9432075da46579bcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b37914d572ecff506090fc52c532b8d38fffd75b558e5f98e17de9adf0d745",
    "cross_cats_sorted": [
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-29T14:05:29Z",
    "title_canon_sha256": "c702cfd0bb799cf18843edad07f9ba17094542c180bb09c2d6b8c432ba64be66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11368",
    "kind": "arxiv",
    "version": 2
  }
}