Pith Number

pith:B35YC4CV

pith:2021:B35YC4CV7BWSND5WDBL5HG6ODU

not attested not anchored not stored refs pending

Independent dimensional phase transition on a two-dimensional Kuramoto model with matrix coupling

Chongzhi Wang, Dewei Li, Haibin Shao

arxiv:2108.11652 v1 · 2021-08-26 · nlin.AO · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B35YC4CV7BWSND5WDBL5HG6ODU}

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	2026-07-05T03:09:08.644859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0efb817055f86d268fb61857d39bce1d0f61fa8b155e382ee33c1f7433f3fa0f

Aliases

arxiv: 2108.11652 · arxiv_version: 2108.11652v1 · doi: 10.48550/arxiv.2108.11652 · pith_short_12: B35YC4CV7BWS · pith_short_16: B35YC4CV7BWSND5W · pith_short_8: B35YC4CV

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/B35YC4CV7BWSND5WDBL5HG6ODU \
  | 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: 0efb817055f86d268fb61857d39bce1d0f61fa8b155e382ee33c1f7433f3fa0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d80e261d0ad2167cb67483806060530e348216048223ccf23f6781a3c49a0e0",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2021-08-26T08:48:09Z",
    "title_canon_sha256": "ab9fb99ce0cecc626e3eeff379e4b84cbb02df54b10baa802c5b3beacfa20dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11652",
    "kind": "arxiv",
    "version": 1
  }
}