Pith Number

pith:WD5WPVNA

pith:2018:WD5WPVNADEXXUTVBRY2MYUOMH4

not attested not anchored not stored refs pending

Stochastic growth rates for populations in random environments with rare migration

David Steinsaltz, Shripad Tuljapurkar

arxiv:1809.04025 v1 · 2018-09-11 · q-bio.PE · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD5WPVNADEXXUTVBRY2MYUOMH4}

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	2026-05-18T00:05:57.500196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fb67d5a0192f7a4ea18e34cc51cc3f183c984c93ae436d1b58edcf384d89d8

Aliases

arxiv: 1809.04025 · arxiv_version: 1809.04025v1 · doi: 10.48550/arxiv.1809.04025 · pith_short_12: WD5WPVNADEXX · pith_short_16: WD5WPVNADEXXUTVB · pith_short_8: WD5WPVNA

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/WD5WPVNADEXXUTVBRY2MYUOMH4 \
  | 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: b0fb67d5a0192f7a4ea18e34cc51cc3f183c984c93ae436d1b58edcf384d89d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74505265b3c8deea8f43b7196129192ba4a1c638dc274c3c0e71ccf0c24f78c5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2018-09-11T16:49:13Z",
    "title_canon_sha256": "9dd8ef4ada48fec569b23da8a0166b3e884a22f550fc5e882932c68b5ac1940c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04025",
    "kind": "arxiv",
    "version": 1
  }
}