Pith Number

pith:V5ZYLPPN

pith:2019:V5ZYLPPNIBZGRZCEO5NR7PJZF5

not attested not anchored not stored refs pending

On the robust existence of piecewise quadratic Lyapunov functions for hybrid models of gene regulatory networks

David Angeli, Mirko Pasquini

arxiv:1906.12216 v1 · 2019-06-28 · eess.SY · cs.SY · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5ZYLPPNIBZGRZCEO5NR7PJZF5}

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	2026-05-17T23:41:58.975102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af7385bded407268e444775b1fbd392f5adf30cff3568cc2aabdeb26fcf57802

Aliases

arxiv: 1906.12216 · arxiv_version: 1906.12216v1 · doi: 10.48550/arxiv.1906.12216 · pith_short_12: V5ZYLPPNIBZG · pith_short_16: V5ZYLPPNIBZGRZCE · pith_short_8: V5ZYLPPN

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/V5ZYLPPNIBZGRZCEO5NR7PJZF5 \
  | 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: af7385bded407268e444775b1fbd392f5adf30cff3568cc2aabdeb26fcf57802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df91bc3b5146b39e6e305b4c51c5248a6149ee184c1cc4834fed1fe7c36870f9",
    "cross_cats_sorted": [
      "cs.SY",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2019-06-28T13:42:33Z",
    "title_canon_sha256": "e463c887883036ed3c993b8d11f98133fa6765eda58150860ed7464f9f06c18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12216",
    "kind": "arxiv",
    "version": 1
  }
}