Pith Number

pith:22TZZOGL

pith:2016:22TZZOGLPPPFVTKCZA2RDUUQZH

not attested not anchored not stored refs pending

Multistability of Phase-Locking in Equal-Frequency Kuramoto Models on Planar Graphs

Philippe Jacquod, Robin Delabays, Tommaso Coletta

arxiv:1609.02359 v2 · 2016-09-08 · nlin.AO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22TZZOGLPPPFVTKCZA2RDUUQZH}

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	2026-05-18T00:48:01.055436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a79cb8cb7bde5acd42c83511d290c9ec9ff9b0b7a0ea8d816601a569993fa3

Aliases

arxiv: 1609.02359 · arxiv_version: 1609.02359v2 · doi: 10.48550/arxiv.1609.02359 · pith_short_12: 22TZZOGLPPPF · pith_short_16: 22TZZOGLPPPFVTKC · pith_short_8: 22TZZOGL

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/22TZZOGLPPPFVTKCZA2RDUUQZH \
  | 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: d6a79cb8cb7bde5acd42c83511d290c9ec9ff9b0b7a0ea8d816601a569993fa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f251b250556a5ae4dd2ca88a62bb71ceccf182a491e7c4537c91829938521f04",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2016-09-08T09:50:52Z",
    "title_canon_sha256": "0457f20990771e2e28b4736f9c6acf561a8ecd883b6c3f16922a143cf1763d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02359",
    "kind": "arxiv",
    "version": 2
  }
}