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Pith Number

pith:X7R5C3NX

pith:2004:X7R5C3NXZBG35HVTNHJWHQODTV
not attested not anchored not stored refs pending

Extending Luttinger's theorem to Z(2) fractionalized phases of matter

Arun Paramekanti (KITP/UCSB), Ashvin Vishwanath (MIT)

arxiv:cond-mat/0406619 v1 · 2004-06-25 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X7R5C3NXZBG35HVTNHJWHQODTV}

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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.

Cited by

4 papers in Pith

Receipt and verification
First computed 2026-07-04T16:46:31.646288Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bfe3d16db7c84dbe9eb369d363c1c39d5502ed9a8491279119fbbe854255918f

Aliases

arxiv: cond-mat/0406619 · arxiv_version: cond-mat/0406619v1 · doi: 10.48550/arxiv.cond-mat/0406619 · pith_short_12: X7R5C3NXZBG3 · pith_short_16: X7R5C3NXZBG35HVT · pith_short_8: X7R5C3NX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X7R5C3NXZBG35HVTNHJWHQODTV \
  | 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: bfe3d16db7c84dbe9eb369d363c1c39d5502ed9a8491279119fbbe854255918f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "460cd734d6ae809ddefb2efef38030ec6321aaab3f254560ed24289e80117237",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2004-06-25T03:14:42Z",
    "title_canon_sha256": "0bf9688273b579075d78bc3e21ccfe9a39d73c45bb8bc2f2284a6337f44fe109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0406619",
    "kind": "arxiv",
    "version": 1
  }
}