pith. sign in
Pith Number

pith:Z2DOOF34

pith:2005:Z2DOOF343YXGI6Q6KDWVBJSFZF
not attested not anchored not stored refs pending

Phase transition in a mean-field model for sympatric speciation

J. S. S\'a Martins, K. Luz-Burgoa, S. Moss de Oliveira, V. Schw\"ammle

arxiv:q-bio/0508016 v1 · 2005-08-15 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z2DOOF343YXGI6Q6KDWVBJSFZF}

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 2026-05-18T01:38:03.866826Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ce86e7177cde2e647a1e50ed50a645c95fca22a72a9d8d77da5fb880d0f3a32a

Aliases

arxiv: q-bio/0508016 · arxiv_version: q-bio/0508016v1 · doi: 10.48550/arxiv.q-bio/0508016 · pith_short_12: Z2DOOF343YXG · pith_short_16: Z2DOOF343YXGI6Q6 · pith_short_8: Z2DOOF34
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2DOOF343YXGI6Q6KDWVBJSFZF \
  | 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: ce86e7177cde2e647a1e50ed50a645c95fca22a72a9d8d77da5fb880d0f3a32a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1c3f6236b51c5af31dab4549835b368e057afd61599441ef53903e3881d59c01",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2005-08-15T20:15:14Z",
    "title_canon_sha256": "248ee9396e6ca928222b9ed4339f01d80659ae2f2196f225e3efc26671621ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-bio/0508016",
    "kind": "arxiv",
    "version": 1
  }
}