Pith Number

pith:5LL2YLQM

pith:2015:5LL2YLQMIVBONJ5FLJW6A4CPDO

not attested not anchored not stored refs pending

Multistability of Phase-Locking and Topological Winding Numbers in Locally Coupled Kuramoto Models on Single-Loop Networks

Philippe Jacquod, Robin Delabays, Tommaso Coletta

arxiv:1512.04266 v2 · 2015-12-14 · 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{5LL2YLQMIVBONJ5FLJW6A4CPDO}

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	2026-05-18T01:17:52.110729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ead7ac2e0c4542e6a7a55a6de0704f1b972b02e2a211a0b3aa4d431c82c04462

Aliases

arxiv: 1512.04266 · arxiv_version: 1512.04266v2 · doi: 10.48550/arxiv.1512.04266 · pith_short_12: 5LL2YLQMIVBO · pith_short_16: 5LL2YLQMIVBONJ5F · pith_short_8: 5LL2YLQM

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/5LL2YLQMIVBONJ5FLJW6A4CPDO \
  | 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: ead7ac2e0c4542e6a7a55a6de0704f1b972b02e2a211a0b3aa4d431c82c04462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cbde0b9bd4bf82f5df85e573b056f2144ffc4282ae14845ebbd6378c4fcbfa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-12-14T11:42:09Z",
    "title_canon_sha256": "506d3d86334afd3ba146f036fa5e2bcca035845a0614bc04031327d98617b42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04266",
    "kind": "arxiv",
    "version": 2
  }
}