pith. sign in
Pith Number

pith:2EUE5UKY

pith:2016:2EUE5UKYE4CMLIJ6RPVSKVQA7K
not attested not anchored not stored refs pending

Long term behaviour of two interacting birth-and-death processes

Mikhail Menshikov, Vadim Shcherbakov

arxiv:1605.09607 v3 · 2016-05-31 · math.PR · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2EUE5UKYE4CMLIJ6RPVSKVQA7K}

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 2026-05-18T00:48:09.846692Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d1284ed1582704c5a13e8beb255600faaabc4f98996f2fb96fc527c27cd2706b

Aliases

arxiv: 1605.09607 · arxiv_version: 1605.09607v3 · doi: 10.48550/arxiv.1605.09607 · pith_short_12: 2EUE5UKYE4CM · pith_short_16: 2EUE5UKYE4CMLIJ6 · pith_short_8: 2EUE5UKY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2EUE5UKYE4CMLIJ6RPVSKVQA7K \
  | 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: d1284ed1582704c5a13e8beb255600faaabc4f98996f2fb96fc527c27cd2706b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5ae62a4a3f9e5123145aa72320bf70cc0bb52bb598c50426c0f78a2f893a4588",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-31T12:54:49Z",
    "title_canon_sha256": "21cbdf14c8740336ba429f106e898a421ded98fa155b1ed2f1e82ea1b273bc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09607",
    "kind": "arxiv",
    "version": 3
  }
}