Pith Number

pith:J3TZ7YY5

pith:2015:J3TZ7YY5NW7IT3T7EUXGEBE5LJ

not attested not anchored not stored refs pending

Synchronization as Aggregation: Cluster Kinetics of Pulse-Coupled Oscillators

Kevin P. O'Keeffe, Pavel L. Krapivsky, Steven H. Strogatz

arxiv:1501.04115 v1 · 2015-01-16 · 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{J3TZ7YY5NW7IT3T7EUXGEBE5LJ}

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	2026-05-18T01:35:32.502159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee79fe31d6dbe89ee7f252e62049d5a5198c7a77758ed0d13a888e07c006ac2

Aliases

arxiv: 1501.04115 · arxiv_version: 1501.04115v1 · doi: 10.48550/arxiv.1501.04115 · pith_short_12: J3TZ7YY5NW7I · pith_short_16: J3TZ7YY5NW7IT3T7 · pith_short_8: J3TZ7YY5

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/J3TZ7YY5NW7IT3T7EUXGEBE5LJ \
  | 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: 4ee79fe31d6dbe89ee7f252e62049d5a5198c7a77758ed0d13a888e07c006ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a87a248b8889c0c65dffb632aacc3c5e094e06b21b1a8e0bdb9691707460bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-01-16T21:30:19Z",
    "title_canon_sha256": "ace184a74849134ecdfc9bec1b1fc7025162b102899eb7d7e07e6ff87ca401d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04115",
    "kind": "arxiv",
    "version": 1
  }
}