Pith Number

pith:2KW72J4X

pith:2018:2KW72J4X3FVAKWHFMXFPFYGFRK

not attested not anchored not stored refs pending

Optimal sustainable harvesting of populations in random environments

Alexandru Hening, Luis H. R. Alvarez E.

arxiv:1807.02464 v1 · 2018-07-06 · math.PR · 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{2KW72J4X3FVAKWHFMXFPFYGFRK}

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.

Cited by

1 paper in Pith

Beyond Wentzell-Freidlin: semi-deterministic approximations for diffusions with small noise and a repulsive critical boundary point

Receipt and verification

First computed	2026-05-17T23:49:52.728207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2adfd2797d96a0558e565caf2e0c58a9e7579e6b98e5c39809d4db9cf15c3d4

Aliases

arxiv: 1807.02464 · arxiv_version: 1807.02464v1 · doi: 10.48550/arxiv.1807.02464 · pith_short_12: 2KW72J4X3FVA · pith_short_16: 2KW72J4X3FVAKWHF · pith_short_8: 2KW72J4X

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/2KW72J4X3FVAKWHFMXFPFYGFRK \
  | 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: d2adfd2797d96a0558e565caf2e0c58a9e7579e6b98e5c39809d4db9cf15c3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b10cd181dc4cdadd7a7238e0bd25c21481233257c69f40c104dabf5d14adfb",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-06T15:55:11Z",
    "title_canon_sha256": "21dfe0aaade5b432a6aff4929162696a3f96b7f6cb6b1565778499dc11580973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02464",
    "kind": "arxiv",
    "version": 1
  }
}