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Pith Number

pith:SZZP5WZV

pith:2014:SZZP5WZVKMILXRDG4KQ3MA5MII
not attested not anchored not stored refs pending

On the Establishment, Persistence, and Inevitable Extinction of Populations

Fima C. Klebaner, kais Hamza, Peter Jagers

arxiv:1410.2973 v1 · 2014-10-11 · q-bio.PE · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SZZP5WZVKMILXRDG4KQ3MA5MII}

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 2026-05-18T02:40:17.343481Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9672fedb355310bbc466e2a1b603ac421609b26c4b7ead91c9dcf8590ceb2c5b

Aliases

arxiv: 1410.2973 · arxiv_version: 1410.2973v1 · doi: 10.48550/arxiv.1410.2973 · pith_short_12: SZZP5WZVKMIL · pith_short_16: SZZP5WZVKMILXRDG · pith_short_8: SZZP5WZV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SZZP5WZVKMILXRDG4KQ3MA5MII \
  | 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: 9672fedb355310bbc466e2a1b603ac421609b26c4b7ead91c9dcf8590ceb2c5b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "aae1d64fd1a40a4b93ce0a33a398541d885e93ae5b3888e9b3954a5f56ffed07",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2014-10-11T08:32:45Z",
    "title_canon_sha256": "795f54e09b1a7dbfbfd49ca2e983b9289225f6e7e2dc2559feb66d13ebc44c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2973",
    "kind": "arxiv",
    "version": 1
  }
}