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Pith Number

pith:GY4JBMEO

pith:2011:GY4JBMEOYNFPBQK5FL5WMMOJHF
not attested not anchored not stored refs pending

Absence of spontaneous magnetic order of lattice spins coupled to itinerant interacting electrons in one and two dimensions

Anthony J. Leggett, Daniel Loss, Fabio L. Pedrocchi

arxiv:1107.1223 v2 · 2011-07-06 · cond-mat.mes-hall · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GY4JBMEOYNFPBQK5FL5WMMOJHF}

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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 2026-05-18T04:13:55.000046Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

363890b08ec34af0c15d2afb6631c9395846f840966eb91c0afc6ccbcb61d099

Aliases

arxiv: 1107.1223 · arxiv_version: 1107.1223v2 · doi: 10.48550/arxiv.1107.1223 · pith_short_12: GY4JBMEOYNFP · pith_short_16: GY4JBMEOYNFPBQK5 · pith_short_8: GY4JBMEO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GY4JBMEOYNFPBQK5FL5WMMOJHF \
  | 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: 363890b08ec34af0c15d2afb6631c9395846f840966eb91c0afc6ccbcb61d099
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7405c0632969d891ff8172cb911f314811686e60f57b19525511c29251275ddf",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2011-07-06T19:24:23Z",
    "title_canon_sha256": "4a3e81fb2a9d13979b829261e5c4908f41e2fc0168aa6b9b9f8445eee23af337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1223",
    "kind": "arxiv",
    "version": 2
  }
}