Pith Number

pith:CBO7AXAA

pith:2010:CBO7AXAAMB2MKES6OSWEDAXUYM

not attested not anchored not stored refs pending

A proof of the Kuramoto conjecture for a bifurcation structure of the infinite dimensional Kuramoto model

Hayato Chiba

arxiv:1008.0249 v2 · 2010-08-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBO7AXAAMB2MKES6OSWEDAXUYM}

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	2026-05-17T23:53:36.936380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105df05c006074c5125e74ac4182f4c327c08c40b34632d28cf1996838e835aa

Aliases

arxiv: 1008.0249 · arxiv_version: 1008.0249v2 · doi: 10.48550/arxiv.1008.0249 · pith_short_12: CBO7AXAAMB2M · pith_short_16: CBO7AXAAMB2MKES6 · pith_short_8: CBO7AXAA

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/CBO7AXAAMB2MKES6OSWEDAXUYM \
  | 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: 105df05c006074c5125e74ac4182f4c327c08c40b34632d28cf1996838e835aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85641bfa361fd4a913cfbfea5957c81e78b6ae720ed862fc67428686e59b5a5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-02T08:10:49Z",
    "title_canon_sha256": "e83abb9a94d83518f414d6c82291c5e1455c4a1b98d6b794b881a5438c786ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0249",
    "kind": "arxiv",
    "version": 2
  }
}