pith. sign in
Pith Number

pith:S7WLF5CD

pith:2000:S7WLF5CDVJUAZRX7GFMGAMBZNQ
not attested not anchored not stored refs pending

Generalized Proper-Time Approach For The Case Of Broken Isospin Symmetry

Alexandre A. Osipov, Brigitte Hiller (University of Coimbra, Portugal)

arxiv:hep-ph/0012294 v1 · 2000-12-21 · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{S7WLF5CDVJUAZRX7GFMGAMBZNQ}

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 2026-05-18T04:30:24.015820Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

97ecb2f443aa680cc6ff31586030396c1620c0a81de64a2ed91cd39088b473e3

Aliases

arxiv: hep-ph/0012294 · arxiv_version: hep-ph/0012294v1 · doi: 10.48550/arxiv.hep-ph/0012294 · pith_short_12: S7WLF5CDVJUA · pith_short_16: S7WLF5CDVJUAZRX7 · pith_short_8: S7WLF5CD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/S7WLF5CDVJUAZRX7GFMGAMBZNQ \
  | 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: 97ecb2f443aa680cc6ff31586030396c1620c0a81de64a2ed91cd39088b473e3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "027c456da8b10343b23d526f24f8c6cbf0c455e4466a94498908e9c381243dd3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-12-21T17:36:19Z",
    "title_canon_sha256": "ca73421c363080a53abaa1161a4dd7a21a3ef9eff1836967926c9ed8cc3c1073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0012294",
    "kind": "arxiv",
    "version": 1
  }
}