Pith Number

pith:UO22BTAP

pith:2011:UO22BTAPLWF4G7MSDSPY4XRF3U

not attested not anchored not stored refs pending

Chiral density waves in the NJL$_2$ model with quark number and isospin chemical potentials

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

arxiv:1102.4079 v3 · 2011-02-20 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UO22BTAPLWF4G7MSDSPY4XRF3U}

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	2026-05-18T04:16:22.596575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b5a0cc0f5d8bc37d921c9f8e5e25dd11cb03dc92ae191b9b1da0336ae460be

Aliases

arxiv: 1102.4079 · arxiv_version: 1102.4079v3 · doi: 10.48550/arxiv.1102.4079 · pith_short_12: UO22BTAPLWF4 · pith_short_16: UO22BTAPLWF4G7MS · pith_short_8: UO22BTAP

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/UO22BTAPLWF4G7MSDSPY4XRF3U \
  | 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: a3b5a0cc0f5d8bc37d921c9f8e5e25dd11cb03dc92ae191b9b1da0336ae460be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c889eb7c4fd946f7804bbbf62ceb716ad845acc6902bb5a941b9782a0133697",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-02-20T16:10:30Z",
    "title_canon_sha256": "4dcbd004ed36d8936a2740e67e45d8580c16cbb010c9afa8ddc54efcd5d3cbbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4079",
    "kind": "arxiv",
    "version": 3
  }
}