pith. sign in
Pith Number

pith:ZTYNXE6Y

pith:2014:ZTYNXE6Y5BMRQT3XLPEDBAVDKQ
not attested not anchored not stored refs pending

A minimal model of predator-swarm interactions

Theodore Kolokolnikov, Yuxin Chen

arxiv:1403.3250 v1 · 2014-03-13 · nlin.AO · math-ph · math.DS · math.MP · nlin.CD · physics.bio-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZTYNXE6Y5BMRQT3XLPEDBAVDKQ}

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 2026-05-18T02:56:22.022608Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ccf0db93d8e859184f775bc83082a3540e248d6370ba1dbc15f034e4f7488f4b

Aliases

arxiv: 1403.3250 · arxiv_version: 1403.3250v1 · doi: 10.48550/arxiv.1403.3250 · pith_short_12: ZTYNXE6Y5BMR · pith_short_16: ZTYNXE6Y5BMRQT3X · pith_short_8: ZTYNXE6Y
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZTYNXE6Y5BMRQT3XLPEDBAVDKQ \
  | 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: ccf0db93d8e859184f775bc83082a3540e248d6370ba1dbc15f034e4f7488f4b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5d663d1104ff993f0424c2a7cc7ff50bb58cc4dd56d54a0ec02eb0c824509e29",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "nlin.CD",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2014-03-13T12:44:20Z",
    "title_canon_sha256": "9445d07f4804d1222c12b2fd12313d244ca2e996262229439de6c6bc61d22f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3250",
    "kind": "arxiv",
    "version": 1
  }
}