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Pith Number

pith:X5K2COGX

pith:2010:X5K2COGXAKCFW5XGYQLA467UDY
not attested not anchored not stored refs pending

Quantum Criticality and Incipient Phase Separation in the Thermodynamic Properties of the Hubbard Model

A. Macridin, D. A. Browne, D. Galanakis, E. Khatami, J. Moreno, K. Mikelsons, M. Jarrell

arxiv:1009.2563 v1 · 2010-09-14 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X5K2COGXAKCFW5XGYQLA467UDY}

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 2026-05-18T02:05:30.875572Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf55a138d702845b76e6c4160e7bf41e21b553b42b6fcca69d4cd9b2b7506d9d

Aliases

arxiv: 1009.2563 · arxiv_version: 1009.2563v1 · doi: 10.48550/arxiv.1009.2563 · pith_short_12: X5K2COGXAKCF · pith_short_16: X5K2COGXAKCFW5XG · pith_short_8: X5K2COGX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5K2COGXAKCFW5XGYQLA467UDY \
  | 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: bf55a138d702845b76e6c4160e7bf41e21b553b42b6fcca69d4cd9b2b7506d9d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0a57d63e98485223ae45d4f9886c76e413868aefee74b1995dce1f0984f4ecdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-09-14T03:32:49Z",
    "title_canon_sha256": "27b0e1ce4e879c346d201191727c296132e41cf10fbc071cbc02ca5eb2f2167f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2563",
    "kind": "arxiv",
    "version": 1
  }
}