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Pith Number

pith:NTDILX75

pith:2016:NTDILX752P4GMEDZYW4Q75RLUA
not attested not anchored not stored refs pending

Phase reduction theory for hybrid nonlinear oscillators

Hiroya Nakao, Sho Shirasaka, Wataru Kurebayashi

arxiv:1604.06633 v2 · 2016-04-22 · nlin.AO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NTDILX752P4GMEDZYW4Q75RLUA}

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 2026-05-18T00:51:49.338631Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6cc685dffdd3f8661079c5b90ff62ba0032ad3ff6e8a7d18a966a9f2acd1c189

Aliases

arxiv: 1604.06633 · arxiv_version: 1604.06633v2 · doi: 10.48550/arxiv.1604.06633 · pith_short_12: NTDILX752P4G · pith_short_16: NTDILX752P4GMEDZ · pith_short_8: NTDILX75
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NTDILX752P4GMEDZYW4Q75RLUA \
  | 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: 6cc685dffdd3f8661079c5b90ff62ba0032ad3ff6e8a7d18a966a9f2acd1c189
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bd039a0611f841f43a30aceffc5ba215e7d81c176b53ca3327004259884c6902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2016-04-22T12:45:16Z",
    "title_canon_sha256": "d0360fa059950b46fe5701373a7500a19e4b48d3f6317d9ee2974c04bf686f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06633",
    "kind": "arxiv",
    "version": 2
  }
}