Pith Number

pith:YQ2K4CMX

pith:2013:YQ2K4CMXZPTXP3QLCIMKCPPF2T

not attested not anchored not stored refs pending

External magnetic fields and the chiral phase transition in QED at nonzero chemical potential

C. N. Leung, D.-S. Lee, W.-C. Syu

arxiv:1307.8222 v1 · 2013-07-31 · 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{YQ2K4CMXZPTXP3QLCIMKCPPF2T}

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	2026-05-18T03:17:01.928936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c434ae0997cbe777ee0b1218a13de5d4ffbb177ddbd0658e2a2d799aa9b75195

Aliases

arxiv: 1307.8222 · arxiv_version: 1307.8222v1 · doi: 10.48550/arxiv.1307.8222 · pith_short_12: YQ2K4CMXZPTX · pith_short_16: YQ2K4CMXZPTXP3QL · pith_short_8: YQ2K4CMX

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/YQ2K4CMXZPTXP3QLCIMKCPPF2T \
  | 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: c434ae0997cbe777ee0b1218a13de5d4ffbb177ddbd0658e2a2d799aa9b75195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "715212415a60d3cfa71746d466038a3480615bdf93b8522068e87ce23520cab5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-07-31T04:55:31Z",
    "title_canon_sha256": "a3d4b0984af6fce5004ada333d994eba87bd5e00eec85697923ea1ce96d66e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8222",
    "kind": "arxiv",
    "version": 1
  }
}