pith. sign in
Pith Number

pith:2VBUR46W

pith:2009:2VBUR46WS4OT6WJB7R4L3YO4C7
not attested not anchored not stored refs pending

Frequency responses of age-structured populations: Pacific salmon as an example

Alan Hastings, Lee Worden, Louis W. Botsford, Matthew D. Holland

arxiv:0912.2774 v2 · 2009-12-14 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2VBUR46WS4OT6WJB7R4L3YO4C7}

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 2026-05-18T04:42:23.903495Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d54348f3d6971d3f5921fc78bde1dc17fd4dd407b442728d38760de37844de10

Aliases

arxiv: 0912.2774 · arxiv_version: 0912.2774v2 · doi: 10.48550/arxiv.0912.2774 · pith_short_12: 2VBUR46WS4OT · pith_short_16: 2VBUR46WS4OT6WJB · pith_short_8: 2VBUR46W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2VBUR46WS4OT6WJB7R4L3YO4C7 \
  | 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: d54348f3d6971d3f5921fc78bde1dc17fd4dd407b442728d38760de37844de10
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ca36a261605642ac16342f23c59e6bdbb1973117b5c35b357c743cceec9e1eb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2009-12-14T23:31:11Z",
    "title_canon_sha256": "582b62414cb914886af74837fd47130042aa4d51729bae92828d335c3ef11955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2774",
    "kind": "arxiv",
    "version": 2
  }
}