pith. sign in
Pith Number

pith:HJLSHXEP

pith:2009:HJLSHXEP6LYOH4H6HE47T3XVMJ
not attested not anchored not stored refs pending

Universality in the one-dimensional chain of phase-coupled oscillators

G. Refael, Jeffrey L. Rogers, M. C. Cross, Oleg Kogan, Tony E. Lee

arxiv:0907.0511 v3 · 2009-07-03 · cond-mat.stat-mech · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HJLSHXEP6LYOH4H6HE47T3XVMJ}

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 2026-05-18T04:25:03.225920Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3a5723dc8ff2f0e3f0fe3939f9eef56262d027175581fded0c5227477783d1d1

Aliases

arxiv: 0907.0511 · arxiv_version: 0907.0511v3 · doi: 10.48550/arxiv.0907.0511 · pith_short_12: HJLSHXEP6LYO · pith_short_16: HJLSHXEP6LYOH4H6 · pith_short_8: HJLSHXEP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HJLSHXEP6LYOH4H6HE47T3XVMJ \
  | 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: 3a5723dc8ff2f0e3f0fe3939f9eef56262d027175581fded0c5227477783d1d1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4cd7315b4be025baf3059c73837ca676388a891431b19b4bd7a3ddabc1a2c738",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-07-03T17:29:12Z",
    "title_canon_sha256": "054912fc0540d5bce4b3f5e0f1404fc4adf713d4fc5ee9c1ad39f1c499477818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0511",
    "kind": "arxiv",
    "version": 3
  }
}