Pith Number

pith:GMSGRC4Z

pith:2016:GMSGRC4ZEPWXFPSE7NWYZVTP6M

not attested not anchored not stored refs pending

The mean field analysis for the Kuramoto model on graphs I. The mean field equation and transition point formulas

Georgi S. Medvedev, Hayato Chiba

arxiv:1612.06493 v1 · 2016-12-20 · 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{GMSGRC4ZEPWXFPSE7NWYZVTP6M}

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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.

Cited by

1 paper in Pith

Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation

Receipt and verification

First computed	2026-05-18T00:54:25.662598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3324688b9923ed72be44fb6d8cd66ff3318ce3215b6c3fce6168497cccdff42f

Aliases

arxiv: 1612.06493 · arxiv_version: 1612.06493v1 · doi: 10.48550/arxiv.1612.06493 · pith_short_12: GMSGRC4ZEPWX · pith_short_16: GMSGRC4ZEPWXFPSE · pith_short_8: GMSGRC4Z

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/GMSGRC4ZEPWXFPSE7NWYZVTP6M \
  | 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: 3324688b9923ed72be44fb6d8cd66ff3318ce3215b6c3fce6168497cccdff42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299b8c22d352225ba0329c84a5910603726d3a13e67cf0a581036987bfa5e766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-20T03:01:26Z",
    "title_canon_sha256": "ee7276e64ffcd3a63e6266f509af0f267f1396fc328f594dc8caa0cb89d80bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06493",
    "kind": "arxiv",
    "version": 1
  }
}