Pith Number

pith:HZ5VPCRS

pith:2016:HZ5VPCRSVHLDABFLK7BI5DQPNQ

not attested not anchored not stored refs pending

On the Lyapunov Matrix of Linear Delay Difference Equations in Continuous Time

Emanuel Rocha, Michael Di Loreto, Sabine Mondi\'e

arxiv:1612.04722 v1 · 2016-12-14 · 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{HZ5VPCRSVHLDABFLK7BI5DQPNQ}

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	2026-05-18T00:54:58.744610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7b578a32a9d63004ab57c28e8e0f6c015ff2dc4cead3a970ba943226f49c94

Aliases

arxiv: 1612.04722 · arxiv_version: 1612.04722v1 · doi: 10.48550/arxiv.1612.04722 · pith_short_12: HZ5VPCRSVHLD · pith_short_16: HZ5VPCRSVHLDABFL · pith_short_8: HZ5VPCRS

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/HZ5VPCRSVHLDABFLK7BI5DQPNQ \
  | 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: 3e7b578a32a9d63004ab57c28e8e0f6c015ff2dc4cead3a970ba943226f49c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee026268a8afe43745c2f7cf0eef32022f5284407efb8e74c1fb4df778e96edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-14T16:50:37Z",
    "title_canon_sha256": "411be3b73c8a3911e438c8f88f8baa38d0fb48b41072b9949845a5280c9fc661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04722",
    "kind": "arxiv",
    "version": 1
  }
}