Pith Number

pith:4K4WBYAI

pith:2018:4K4WBYAIXLD5AGLSRN3XV3G7HI

not attested not anchored not stored refs pending

Revisiting Persistence of Chemical Reaction Networks through Lyapunov Function Partial Differential Equations

Chuanhou Gao, Xiaoyu Zhang, Zhou Fang

arxiv:1810.00225 v3 · 2018-09-29 · 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{4K4WBYAIXLD5AGLSRN3XV3G7HI}

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.

Cited by

2 papers in Pith

A Perron-Frobenius strong threshold theorem for (A, B, P, {\phi}) balanced bilinear models, and the role of left and right Perron eigenvectors in mathematical epidemiology

Perron-Volterra Lyapunov functions and competitive exclusion partitions in n-strain models with diagonal Metzler transversal Jacobian and rank-one blocks

Receipt and verification

First computed	2026-05-17T23:55:03.252549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b960e008bac7d019728b777aecdf3a1c084656c7fe45f6aad00076f7efe35d

Aliases

arxiv: 1810.00225 · arxiv_version: 1810.00225v3 · doi: 10.48550/arxiv.1810.00225 · pith_short_12: 4K4WBYAIXLD5 · pith_short_16: 4K4WBYAIXLD5AGLS · pith_short_8: 4K4WBYAI

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/4K4WBYAIXLD5AGLSRN3XV3G7HI \
  | 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: e2b960e008bac7d019728b777aecdf3a1c084656c7fe45f6aad00076f7efe35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6e49f692f87d7bf19ffa02af2ae64b3a95a817a96614c77b54d81e4a6e86a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-29T15:50:50Z",
    "title_canon_sha256": "9150eaac9edb656f786e0b1650b01dedcd07552f950eb3635741d908d9723056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.00225",
    "kind": "arxiv",
    "version": 3
  }
}