Pith Number

pith:IPAH72UB

pith:2017:IPAH72UB3XBJ2QT7KGWO42I7UL

not attested not anchored not stored refs pending

The mean field analysis of the Kuramoto model on graphs II. Asymptotic stability of the incoherent state, center manifold reduction, and bifurcations

Georgi S. Medvedev, Hayato Chiba

arxiv:1709.08305 v2 · 2017-09-25 · 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{IPAH72UB3XBJ2QT7KGWO42I7UL}

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	2026-05-18T00:17:54.427455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c07fea81ddc29d427f51acee691fa2e0be5c68942206b620603c9ed2a90594

Aliases

arxiv: 1709.08305 · arxiv_version: 1709.08305v2 · doi: 10.48550/arxiv.1709.08305 · pith_short_12: IPAH72UB3XBJ · pith_short_16: IPAH72UB3XBJ2QT7 · pith_short_8: IPAH72UB

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/IPAH72UB3XBJ2QT7KGWO42I7UL \
  | 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: 43c07fea81ddc29d427f51acee691fa2e0be5c68942206b620603c9ed2a90594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a9f61f5653dae78c309a27d876697ccf1c6ec860725ce76b9c3ca9ef8c4779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-09-25T03:34:23Z",
    "title_canon_sha256": "a011ef5299d821e6505fbddc914765c942acc70e52232d2d6e0752d828f9be2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08305",
    "kind": "arxiv",
    "version": 2
  }
}