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Pith Number

pith:WU7B6K77

pith:2016:WU7B6K77CA75SSQDDQO4XYZ4CS
not attested not anchored not stored refs pending

Synchronization of coupled noisy oscillators: Coarse-graining from continuous to discrete phases

Alexandre Rosas, Daniel Escaff, Katja Lindenberg, Raul Toral

arxiv:1609.08731 v1 · 2016-09-28 · nlin.AO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WU7B6K77CA75SSQDDQO4XYZ4CS}

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 2026-05-18T00:54:29.233448Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b53e1f2bff103fd94a031c1dcbe33c149f85fdc78b0099c9345d324e01e0eb6f

Aliases

arxiv: 1609.08731 · arxiv_version: 1609.08731v1 · doi: 10.48550/arxiv.1609.08731 · pith_short_12: WU7B6K77CA75 · pith_short_16: WU7B6K77CA75SSQD · pith_short_8: WU7B6K77
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WU7B6K77CA75SSQDDQO4XYZ4CS \
  | 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: b53e1f2bff103fd94a031c1dcbe33c149f85fdc78b0099c9345d324e01e0eb6f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4bddafbf95ab6799cbcb5ea52d95b049592f1488b429e72b2f59593c38830b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2016-09-28T02:09:28Z",
    "title_canon_sha256": "82eb0e3000e1b468e0e0eacbce518d51c6d92e8c1701b6607ce1487b08d24f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08731",
    "kind": "arxiv",
    "version": 1
  }
}