Pith Number

pith:V5CFNLDK

pith:2011:V5CFNLDK74DCISBRP3UVKJMBWH

not attested not anchored not stored refs pending

Optimal Asymptotic Entrainment of Phase-Reduced Oscillators

Anatoly Zlotnik, Jr-Shin Li

arxiv:1104.2112 v2 · 2011-04-12 · nlin.CD · cs.SY · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5CFNLDK74DCISBRP3UVKJMBWH}

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	2026-05-18T04:12:20.978926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4456ac6aff062448317ee9552581b1c74ac58f9719c93a357f125050c77e72

Aliases

arxiv: 1104.2112 · arxiv_version: 1104.2112v2 · doi: 10.48550/arxiv.1104.2112 · pith_short_12: V5CFNLDK74DC · pith_short_16: V5CFNLDK74DCISBR · pith_short_8: V5CFNLDK

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/V5CFNLDK74DCISBRP3UVKJMBWH \
  | 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: af4456ac6aff062448317ee9552581b1c74ac58f9719c93a357f125050c77e72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03fe2c5ab264ab69defcb3d2d871a5b49746f1b720d76fbb8c2358f52d4fa23f",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-04-12T05:31:44Z",
    "title_canon_sha256": "9261da938f99ba13e316defae847157163a63e54e1eda658d52094068ae5739a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2112",
    "kind": "arxiv",
    "version": 2
  }
}