Pith Number

pith:XUTA6PJ4

pith:2013:XUTA6PJ4QTMIDQGXY4CN3A5P57

not attested not anchored not stored refs pending

The Linear Sigma Model and the formation of a charged pion condensate in the presence of an external magnetic field

C. Villavicencio, M. Loewe, R. Zamora

arxiv:1310.5789 v2 · 2013-10-22 · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUTA6PJ4QTMIDQGXY4CN3A5P57}

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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

1 paper in Pith

Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field

Receipt and verification

First computed	2026-05-18T01:46:56.525505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd260f3d3c84d881c0d7c704dd83afefefd91bc2fd15c1e5f5b7571834c25117

Aliases

arxiv: 1310.5789 · arxiv_version: 1310.5789v2 · doi: 10.48550/arxiv.1310.5789 · pith_short_12: XUTA6PJ4QTMI · pith_short_16: XUTA6PJ4QTMIDQGX · pith_short_8: XUTA6PJ4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XUTA6PJ4QTMIDQGXY4CN3A5P57 \
  | 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: bd260f3d3c84d881c0d7c704dd83afefefd91bc2fd15c1e5f5b7571834c25117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c8c4747bf287c0e0ce5513588b0195346f6a1d00549af1dc40682c1c7144b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-10-22T03:19:24Z",
    "title_canon_sha256": "5715b9a9561e26c733a7d54ac890d25116d288e35fafe286f354fb9a023f5a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5789",
    "kind": "arxiv",
    "version": 2
  }
}