Pith Number

pith:4FFPBCIQ

pith:2010:4FFPBCIQDPK7TWQVVLVDSHDRGP

not attested not anchored not stored refs pending

Vortices and the entrainment transition in the 2D Kuramoto model

G. Refael, Heywood Tam, Jeffrey L. Rogers, M. C. Cross, Tony E. Lee

arxiv:1006.3600 v2 · 2010-06-18 · cond-mat.stat-mech · cond-mat.dis-nn · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FFPBCIQDPK7TWQVVLVDSHDRGP}

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	2026-05-18T04:25:03.106927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e14af089101bd5f9da15aaea391c7133e24f972517dbbfff8592167c1733cd49

Aliases

arxiv: 1006.3600 · arxiv_version: 1006.3600v2 · doi: 10.48550/arxiv.1006.3600 · pith_short_12: 4FFPBCIQDPK7 · pith_short_16: 4FFPBCIQDPK7TWQV · pith_short_8: 4FFPBCIQ

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/4FFPBCIQDPK7TWQVVLVDSHDRGP \
  | 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: e14af089101bd5f9da15aaea391c7133e24f972517dbbfff8592167c1733cd49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8021598295325e14a21d2885d755eac837e7c2b52f879bd98bd7d7060ea522",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-06-18T03:33:13Z",
    "title_canon_sha256": "37fa1f9ae6287277cc19c86ae005fa711a973b1538e1d4db04db2d45df823e35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3600",
    "kind": "arxiv",
    "version": 2
  }
}