Pith Number

pith:LYXF27OV

pith:2009:LYXF27OVXBSE62KME6I3GTIDW3

not attested not anchored not stored refs pending

Effects of anisotropic interactions on the structure of animal groups

Benedetto Piccoli, Emiliano Cristiani, Paolo Frasca

arxiv:0903.4056 v5 · 2009-03-24 · math.DS · nlin.AO · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYXF27OVXBSE62KME6I3GTIDW3}

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	2026-05-18T04:26:43.874990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e2e5d7dd5b8644f694c2791b34d03b6f7c3c12ede17468623f708e992f3e37b

Aliases

arxiv: 0903.4056 · arxiv_version: 0903.4056v5 · doi: 10.48550/arxiv.0903.4056 · pith_short_12: LYXF27OVXBSE · pith_short_16: LYXF27OVXBSE62KM · pith_short_8: LYXF27OV

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/LYXF27OVXBSE62KME6I3GTIDW3 \
  | 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: 5e2e5d7dd5b8644f694c2791b34d03b6f7c3c12ede17468623f708e992f3e37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd317ba60df63389f9092b022e53a08210b4fba01ac8f03015f97f996c27715b",
    "cross_cats_sorted": [
      "nlin.AO",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-03-24T12:05:06Z",
    "title_canon_sha256": "8c54b3c6baecccd74846c1ed03ef89cfe81e2f925e1f68881936c7da85e9cb9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4056",
    "kind": "arxiv",
    "version": 5
  }
}