Pith Number

pith:TXLVPO7O

pith:2025:TXLVPO7O6FH4ERQYGRO2FD2QLW

not attested not anchored not stored refs pending

A Koopman Operator Framework for Nonlinear Epidemic Dynamics: Application to an SIRSD Model

Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi

arxiv:2508.16766 v1 · 2025-08-22 · 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{TXLVPO7O6FH4ERQYGRO2FD2QLW}

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	2026-05-20T01:06:05.561862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd757bbeef14fc24618345da28f505d91a809a3fb95a7f541dfd8d4dffa9921

Aliases

arxiv: 2508.16766 · arxiv_version: 2508.16766v1 · doi: 10.48550/arxiv.2508.16766 · pith_short_12: TXLVPO7O6FH4 · pith_short_16: TXLVPO7O6FH4ERQY · pith_short_8: TXLVPO7O

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/TXLVPO7O6FH4ERQYGRO2FD2QLW \
  | 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: 9dd757bbeef14fc24618345da28f505d91a809a3fb95a7f541dfd8d4dffa9921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffb0d2ffb3577c580f54d1e371df7f34f7c68c6faf839739e1c01e7504a1f5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-08-22T19:50:18Z",
    "title_canon_sha256": "de47a3dbb4f01c7f4a949c7f845083df84c91dd2afe54fda838228b5ad1b1f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.16766",
    "kind": "arxiv",
    "version": 1
  }
}