pith. sign in
Pith Number

pith:KY3H3WLG

pith:2012:KY3H3WLGFIKVIK35SCQU7BECYX
not attested not anchored not stored refs pending

Inhomogeneous charged pion condensation phenomenon in the NJL$_2$ model with quark number and isospin chemical potentials

K. G. Klimenko, N. V. Gubina, S. G. Kurbanov, V. Ch. Zhukovsky

arxiv:1206.2519 v2 · 2012-06-12 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KY3H3WLGFIKVIK35SCQU7BECYX}

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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 2026-05-18T03:22:40.302477Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

56367dd9662a15542b7d90a14f8482c5ef60b734402cc059e0dae563557c40b4

Aliases

arxiv: 1206.2519 · arxiv_version: 1206.2519v2 · doi: 10.48550/arxiv.1206.2519 · pith_short_12: KY3H3WLGFIKV · pith_short_16: KY3H3WLGFIKVIK35 · pith_short_8: KY3H3WLG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KY3H3WLGFIKVIK35SCQU7BECYX \
  | 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: 56367dd9662a15542b7d90a14f8482c5ef60b734402cc059e0dae563557c40b4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3ef22243a702a46dd8269c503f4364559c525b74b0183baee7b2b4a653b07813",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-12T13:22:11Z",
    "title_canon_sha256": "29c498d0f4ff499ed4fdd2c2f0834d36760dd6b1d429596a919d31c330c02083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2519",
    "kind": "arxiv",
    "version": 2
  }
}