Pith Number

pith:5EBR5EY4

pith:2011:5EBR5EY45LIQ7YHBENSJCXJDQU

not attested not anchored not stored refs pending

Center manifold reduction for large populations of globally coupled phase oscillators

Hayato Chiba, Isao Nishikawa

arxiv:1103.0363 v1 · 2011-03-02 · nlin.AO · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EBR5EY45LIQ7YHBENSJCXJDQU}

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	2026-05-18T02:03:01.247799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9031e931cead10fe0e12364915d238532c860e103b1139c42fc84e04ac390f3

Aliases

arxiv: 1103.0363 · arxiv_version: 1103.0363v1 · doi: 10.48550/arxiv.1103.0363 · pith_short_12: 5EBR5EY45LIQ · pith_short_16: 5EBR5EY45LIQ7YHB · pith_short_8: 5EBR5EY4

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/5EBR5EY45LIQ7YHBENSJCXJDQU \
  | 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: e9031e931cead10fe0e12364915d238532c860e103b1139c42fc84e04ac390f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d11c592c6ca1b989e7a66c248620d66465b0dd488a51e6abe74bc78426d7613",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2011-03-02T07:56:40Z",
    "title_canon_sha256": "dae7411b5aec4056bc4a7d96ae9246ffcb8acec497f56447326fa816c4235f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0363",
    "kind": "arxiv",
    "version": 1
  }
}