Pith Number

pith:QC2S5JZF

pith:2017:QC2S5JZFHI2LSTX5AULPRCO4EZ

not attested not anchored not stored refs pending

Asymptotic harvesting of populations in random environments

Alexandru Hening, Dang H. Nguyen, Sergiu C. Ungureanu, Tak Kwong Wong

arxiv:1710.01221 v2 · 2017-10-03 · math.PR · math.CA · q-bio.PE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QC2S5JZFHI2LSTX5AULPRCO4EZ}

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	2026-05-17T23:49:53.142774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b52ea7253a34b94efd0516f889dc2669c85e459cf3f9a9acdc6308218a16eb

Aliases

arxiv: 1710.01221 · arxiv_version: 1710.01221v2 · doi: 10.48550/arxiv.1710.01221 · pith_short_12: QC2S5JZFHI2L · pith_short_16: QC2S5JZFHI2LSTX5 · pith_short_8: QC2S5JZF

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/QC2S5JZFHI2LSTX5AULPRCO4EZ \
  | 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: 80b52ea7253a34b94efd0516f889dc2669c85e459cf3f9a9acdc6308218a16eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72dd82ecb81d13909b6f7be7c89c0b4c80c602d17414db3d956ba140acdbcf08",
    "cross_cats_sorted": [
      "math.CA",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-03T15:37:41Z",
    "title_canon_sha256": "58cda2460617a1545c472d0962238b41258d18d3def92edefe95d5294b9505a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01221",
    "kind": "arxiv",
    "version": 2
  }
}