pith. sign in
Pith Number

pith:AO2A5FYE

pith:2014:AO2A5FYECDPN3WXRTK5B7PSGMI
not attested not anchored not stored refs pending

Mean-Field approximation and Quasi-Equilibrium reduction of Markov Population Models

Luca Bortolussi, Rytis Pa\v{s}kauskas

arxiv:1405.4200 v1 · 2014-05-16 · cs.SY · cs.PF · q-bio.QM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AO2A5FYECDPN3WXRTK5B7PSGMI}

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 2026-05-18T02:51:42.917037Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

03b40e970410dedddaf19aba1fbe46621bb4dd6a485b538b86d3b42e39760508

Aliases

arxiv: 1405.4200 · arxiv_version: 1405.4200v1 · doi: 10.48550/arxiv.1405.4200 · pith_short_12: AO2A5FYECDPN · pith_short_16: AO2A5FYECDPN3WXR · pith_short_8: AO2A5FYE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AO2A5FYECDPN3WXRTK5B7PSGMI \
  | 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: 03b40e970410dedddaf19aba1fbe46621bb4dd6a485b538b86d3b42e39760508
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e9205d052853c0d08a48d90e18f7c376d5126c08e7b64863123b715c729083a9",
    "cross_cats_sorted": [
      "cs.PF",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2014-05-16T15:11:24Z",
    "title_canon_sha256": "6184daef4d9eae9182ca372b1c7814e9d015c59a3cc74c76929695a50beaddc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4200",
    "kind": "arxiv",
    "version": 1
  }
}