Pith Number

pith:5JD4AXAB

pith:2008:5JD4AXABEYFS2ARTT47YJVQ7Y5

not attested not anchored not stored refs pending

Asymptotic dynamics of attractive-repulsive swarms

A.J. Bernoff, A.J. Leverentz, C.M. Topaz

arxiv:0801.2566 v2 · 2008-01-16 · q-bio.PE · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JD4AXABEYFS2ARTT47YJVQ7Y5}

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	2026-05-18T02:16:01.839007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea47c05c01260b2d02339f3f84d61fc7513cff5b35f41f81cde2a31c9096e0fb

Aliases

arxiv: 0801.2566 · arxiv_version: 0801.2566v2 · doi: 10.48550/arxiv.0801.2566 · pith_short_12: 5JD4AXABEYFS · pith_short_16: 5JD4AXABEYFS2ART · pith_short_8: 5JD4AXAB

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/5JD4AXABEYFS2ARTT47YJVQ7Y5 \
  | 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: ea47c05c01260b2d02339f3f84d61fc7513cff5b35f41f81cde2a31c9096e0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d94933f05932a1f265e0adb7dc2cb69dbe0cd47e2d531f4d00a967eca0d81292",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2008-01-16T20:34:12Z",
    "title_canon_sha256": "905d3353b9ed523c3df07f2a625cb7d739cb59827e44af5799189b4e91be140c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2566",
    "kind": "arxiv",
    "version": 2
  }
}