Pith Number

pith:NNZ4CTGV

pith:2017:NNZ4CTGV3MAA4AWULCJ3GZXVGI

not attested not anchored not stored refs pending

Four-fermion interactions and the chiral symmetry breaking in an external magnetic field

Wei-jie Fu, Yu-Xin Liu

arxiv:1705.09841 v1 · 2017-05-27 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNZ4CTGV3MAA4AWULCJ3GZXVGI}

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.

Cited by

1 paper in Pith

Spectral function for pions in magnetic field

Receipt and verification

First computed	2026-05-18T00:32:09.955526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b73c14cd5db000e02d45893b366f5323fa94ac01f245928ad0a87d0b99edf98

Aliases

arxiv: 1705.09841 · arxiv_version: 1705.09841v1 · doi: 10.48550/arxiv.1705.09841 · pith_short_12: NNZ4CTGV3MAA · pith_short_16: NNZ4CTGV3MAA4AWU · pith_short_8: NNZ4CTGV

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/NNZ4CTGV3MAA4AWULCJ3GZXVGI \
  | 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: 6b73c14cd5db000e02d45893b366f5323fa94ac01f245928ad0a87d0b99edf98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465b222a514a4604ebf8cf9931670a4b9364a0926c285292ca6588cd7d9dcdab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-05-27T16:43:45Z",
    "title_canon_sha256": "5f2f0d60240b12ac3989769e00bec6a4586c52823659473eb0a0ed7b6e112f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09841",
    "kind": "arxiv",
    "version": 1
  }
}