pith. sign in
Pith Number

pith:LJPEVMJY

pith:2013:LJPEVMJY6HHJ7Z73YNMXOFIJN2
not attested not anchored not stored refs pending

Forward Hysteresis and Backward Bifurcation Caused by Culling in an Avian Influenza Model

Hayriye Gulbudak, Maia Martcheva

arxiv:1309.0248 v1 · 2013-09-01 · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LJPEVMJY6HHJ7Z73YNMXOFIJN2}

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 2026-05-18T03:14:28.438736Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5a5e4ab138f1ce9fe7fbc3597715096ea2b29cfd911248bdaf92bb72ce348ad0

Aliases

arxiv: 1309.0248 · arxiv_version: 1309.0248v1 · doi: 10.48550/arxiv.1309.0248 · pith_short_12: LJPEVMJY6HHJ · pith_short_16: LJPEVMJY6HHJ7Z73 · pith_short_8: LJPEVMJY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LJPEVMJY6HHJ7Z73YNMXOFIJN2 \
  | 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: 5a5e4ab138f1ce9fe7fbc3597715096ea2b29cfd911248bdaf92bb72ce348ad0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2de0e3bd2a7475ea6813884b5fce22ca92aef2de91076a4c5a30f86eaa0c86f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-09-01T17:51:16Z",
    "title_canon_sha256": "a806fc7b97662ae026033ea0e7d2b34976560a6287e5b5489a87369064fbbb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0248",
    "kind": "arxiv",
    "version": 1
  }
}