Pith Number

pith:V4APOUPY

pith:1997:V4APOUPY2KG4TMAUBQ3LEQGMVT

not attested not anchored not stored refs pending

Patterns of Spontaneous Chiral Symmetry Breaking in the Large-Nc Limit of QCD-Like Theories

E. de Rafael, M. Knecht

arxiv:hep-ph/9712457 v1 · 1997-12-19 · 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{V4APOUPY2KG4TMAUBQ3LEQGMVT}

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

Electroweak phase transition with composite Higgs models: calculability, gravitational waves and collider searches

Receipt and verification

First computed	2026-07-04T17:25:24.488768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af00f751f8d28dc9b0140c36b240ccacedee7134b37c73240fd3f102df897959

Aliases

arxiv: hep-ph/9712457 · arxiv_version: hep-ph/9712457v1 · doi: 10.48550/arxiv.hep-ph/9712457 · pith_short_12: V4APOUPY2KG4 · pith_short_16: V4APOUPY2KG4TMAU · pith_short_8: V4APOUPY

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/V4APOUPY2KG4TMAUBQ3LEQGMVT \
  | 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: af00f751f8d28dc9b0140c36b240ccacedee7134b37c73240fd3f102df897959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49e559c5d9d8e51c9177ffa2094198a9cb3a0186ea9d10f98065d670247d6a3b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-12-19T14:00:39Z",
    "title_canon_sha256": "790554f9575a01340b7ac99259935b56082334025eb3b6074f6d39dd60d5ccf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9712457",
    "kind": "arxiv",
    "version": 1
  }
}