pith. sign in
Pith Number

pith:2V3N6JPW

pith:2011:2V3N6JPWIKLEXYPEYZ6LPTMM4G
not attested not anchored not stored refs pending

Self-organization in two-dimensional swarms

Amer Shreim, Jihad Touma, Leonid Klushin

arxiv:1103.2551 v1 · 2011-03-13 · cond-mat.stat-mech · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2V3N6JPWIKLEXYPEYZ6LPTMM4G}

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 2026-05-18T02:22:19.553894Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d576df25f642964be1e4c67cb7cd8ce19139033dd82998adf5c5af6d6b066332

Aliases

arxiv: 1103.2551 · arxiv_version: 1103.2551v1 · doi: 10.48550/arxiv.1103.2551 · pith_short_12: 2V3N6JPWIKLE · pith_short_16: 2V3N6JPWIKLEXYPE · pith_short_8: 2V3N6JPW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2V3N6JPWIKLEXYPEYZ6LPTMM4G \
  | 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: d576df25f642964be1e4c67cb7cd8ce19139033dd82998adf5c5af6d6b066332
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a9491d883e155ead609f4ce455c324293076042eeee64cc9df417e51e1d3c7c3",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-03-13T20:31:54Z",
    "title_canon_sha256": "243bb1d986718be5a9dd7bce79c8769cd7fb651ec535d97db7415f4f77e34cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2551",
    "kind": "arxiv",
    "version": 1
  }
}