Pith Number

pith:WWHC3XWS

pith:2023:WWHC3XWSYXA233WC5VH2NNTS36

not attested not anchored not stored refs pending

Convergence of Ginzburg-Landau expansions: superconductivity in the Bardeen-Cooper-Schrieffer theory and chiral symmetry breaking in the Nambu-Jona-Lasinio model

Naoki Yamamoto, William Gyory

arxiv:2312.16372 v2 · 2023-12-27 · hep-th · cond-mat.supr-con · hep-ph · nucl-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{WWHC3XWSYXA233WC5VH2NNTS36}

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	2026-07-05T08:06:12.312089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58e2dded2c5c1adeec2ed4fa6b672df924ae129a8566bffdd068a5d2483f202

Aliases

arxiv: 2312.16372 · arxiv_version: 2312.16372v2 · doi: 10.48550/arxiv.2312.16372 · pith_short_12: WWHC3XWSYXA2 · pith_short_16: WWHC3XWSYXA233WC · pith_short_8: WWHC3XWS

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/WWHC3XWSYXA233WC5VH2NNTS36 \
  | 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: b58e2dded2c5c1adeec2ed4fa6b672df924ae129a8566bffdd068a5d2483f202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd69b86e30436ee216ce099a7a55f156faa7bdc35f328275403dc67f13366aa4",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-27T01:19:52Z",
    "title_canon_sha256": "f042f3122bdbb315ebd355402e2c1bcbaf0109513fac524fcb6ca28f0761179d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16372",
    "kind": "arxiv",
    "version": 2
  }
}