Pith Number

pith:C3MKRB6R

pith:2011:C3MKRB6RYPG66KO65SLHIPNVRX

not attested not anchored not stored refs pending

Fully Synchronous Solutions and the Synchronization Phase Transition for the Finite N Kuramoto Model

Jared C. Bronski, Lee DeVille, Moon Jip Park

arxiv:1111.5302 v1 · 2011-11-22 · math.DS · 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{C3MKRB6RYPG66KO65SLHIPNVRX}

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	2026-05-18T01:59:26.705254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d8a887d1c3cdef29deec96743db58dfa0b84d1f97db7db12a8cb60fd307d8a

Aliases

arxiv: 1111.5302 · arxiv_version: 1111.5302v1 · doi: 10.48550/arxiv.1111.5302 · pith_short_12: C3MKRB6RYPG6 · pith_short_16: C3MKRB6RYPG66KO6 · pith_short_8: C3MKRB6R

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/C3MKRB6RYPG66KO65SLHIPNVRX \
  | 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: 16d8a887d1c3cdef29deec96743db58dfa0b84d1f97db7db12a8cb60fd307d8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22268a3f7c8226065f8738eab5b14f524d6a212f9c5752c8059bd4fcc60ca393",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-22T19:43:50Z",
    "title_canon_sha256": "5e5464fc9243a30d1903c4e614fbd3651bba7ff06a3e18fe8004c06fdb1924d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5302",
    "kind": "arxiv",
    "version": 1
  }
}