pith. sign in
Pith Number

pith:V7VK5W5Q

pith:2004:V7VK5W5QM57BSFEJ56QCGP7ZGX
not attested not anchored not stored refs pending

Phase diagram and magnetic collective excitations of the Hubbard model in graphene sheets and layers

Daniel Bozi, M. A. N. Araujo, N. M. R. Peres

arxiv:cond-mat/0403605 v2 · 2004-03-24 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V7VK5W5QM57BSFEJ56QCGP7ZGX}

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 2026-05-18T01:06:54.302275Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

afeaaedbb0677e191489efa0233ff935e483c3ef865feb9e710efe20c88f76fe

Aliases

arxiv: cond-mat/0403605 · arxiv_version: cond-mat/0403605v2 · doi: 10.48550/arxiv.cond-mat/0403605 · pith_short_12: V7VK5W5QM57B · pith_short_16: V7VK5W5QM57BSFEJ · pith_short_8: V7VK5W5Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V7VK5W5QM57BSFEJ56QCGP7ZGX \
  | 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: afeaaedbb0677e191489efa0233ff935e483c3ef865feb9e710efe20c88f76fe
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ad206c7d14296ab6eb0c467f0a4319014d52fda50264be84c61b6f078ee123cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2004-03-24T08:48:52Z",
    "title_canon_sha256": "22135ed285d2871fce7944991b00106ab906f372e609037f2677ebacda30a78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0403605",
    "kind": "arxiv",
    "version": 2
  }
}