Pith Number

pith:TUTWYBPJ

pith:2011:TUTWYBPJ335ZXD2NW77HQE6EEA

not attested not anchored not stored refs pending

The frequency-dependent Wright-Fisher model: diffusive and non-diffusive approximations

Fabio A. C. C. Chalub, Max O. Souza

arxiv:1107.1549 v4 · 2011-07-08 · q-bio.PE · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUTWYBPJ335ZXD2NW77HQE6EEA}

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	2026-05-18T02:44:08.708488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d276c05e9defb9b8f4db7fe7813c4201b85bebfcdba6274a8e52e3e902bb888

Aliases

arxiv: 1107.1549 · arxiv_version: 1107.1549v4 · doi: 10.48550/arxiv.1107.1549 · pith_short_12: TUTWYBPJ335Z · pith_short_16: TUTWYBPJ335ZXD2N · pith_short_8: TUTWYBPJ

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/TUTWYBPJ335ZXD2NW77HQE6EEA \
  | 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: 9d276c05e9defb9b8f4db7fe7813c4201b85bebfcdba6274a8e52e3e902bb888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303e25033c33d37d9522e7666572f578cb8343c158fae9c9f3c3b728afd7bff6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2011-07-08T03:14:52Z",
    "title_canon_sha256": "dd65ed5424f109b3bfd9861aa6fb23497c7a5024f17ef5960f335e384e7677a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1549",
    "kind": "arxiv",
    "version": 4
  }
}