Pith Number

pith:WADZU4RD

pith:2015:WADZU4RDLNLYJ6B2LTNX6U5SLB

not attested not anchored not stored refs pending

A criterion for timescale decomposition of external inputs for generalized phase reduction of limit-cycle oscillators

Hiroya Nakao, Sho Shirasaka, Wataru Kurebayashi

arxiv:1509.01883 v1 · 2015-09-07 · nlin.AO · nlin.CD · nlin.PS · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WADZU4RDLNLYJ6B2LTNX6U5SLB}

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	2026-05-18T01:33:50.270576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0079a72235b5784f83a5cdb7f53b258749aed86062345d546ba1de34d33b134

Aliases

arxiv: 1509.01883 · arxiv_version: 1509.01883v1 · doi: 10.48550/arxiv.1509.01883 · pith_short_12: WADZU4RDLNLY · pith_short_16: WADZU4RDLNLYJ6B2 · pith_short_8: WADZU4RD

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/WADZU4RDLNLYJ6B2LTNX6U5SLB \
  | 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: b0079a72235b5784f83a5cdb7f53b258749aed86062345d546ba1de34d33b134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3c3febe7c89528ad2c2199fcdd386d1e9f5b84032ccb2f7c22f9e7ab373d577",
    "cross_cats_sorted": [
      "nlin.CD",
      "nlin.PS",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-09-07T01:38:12Z",
    "title_canon_sha256": "a562cef92918d092a4c27ade0930f8fe0e094d5f122b47e5971a7ca1124f13f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01883",
    "kind": "arxiv",
    "version": 1
  }
}