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Pith Number

pith:XRFMATX6

pith:2010:XRFMATX6DHZCNGUNXWZESM6URI
not attested not anchored not stored refs pending

Frustrated classical Heisenberg and XY models in 2 dimensions with nearest neighbor exchange: exact solution for the ground state phase diagram

L. X. Hayden, S. D. Mahanti, T. A. Kaplan

arxiv:1003.5622 v2 · 2010-03-29 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XRFMATX6DHZCNGUNXWZESM6URI}

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 2026-05-18T02:08:16.030932Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc4ac04efe19f2269a8dbdb24933d48a2ec4ff65fdc7e72c6e9bcf0bb9900dbb

Aliases

arxiv: 1003.5622 · arxiv_version: 1003.5622v2 · doi: 10.48550/arxiv.1003.5622 · pith_short_12: XRFMATX6DHZC · pith_short_16: XRFMATX6DHZCNGUN · pith_short_8: XRFMATX6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XRFMATX6DHZCNGUNXWZESM6URI \
  | 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: bc4ac04efe19f2269a8dbdb24933d48a2ec4ff65fdc7e72c6e9bcf0bb9900dbb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "49451d776e80dc56ad5c4014c379fa5aa3c3153bec5a01a696f7cb1ac3db7108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-03-29T17:47:45Z",
    "title_canon_sha256": "b2a9fce62599dfa9ea9d66d65f3b1871fa703e52f961719d5b942c67d91f59a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5622",
    "kind": "arxiv",
    "version": 2
  }
}