Pith Number

pith:4Q5TDRUE

pith:2001:4Q5TDRUEUDNYLQRHOO3LAG6IHA

not attested not anchored not stored refs pending

$\Delta M_s/\Delta M_d$, $\sin 2\beta$ and the angle $\gamma$ in the Presence of New $\Delta F=2$ Operators

Andrzej J. Buras, Janusz Rosiek, Lucja Slawianowska, Piotr H. Chankowski

arxiv:hep-ph/0107048 v2 · 2001-07-05 · 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{4Q5TDRUEUDNYLQRHOO3LAG6IHA}

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	2026-07-04T17:29:42.267041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43b31c684a0db85c22773b6b01bc83839c497a97fe1ad48336112518bcbeec3

Aliases

arxiv: hep-ph/0107048 · arxiv_version: hep-ph/0107048v2 · doi: 10.48550/arxiv.hep-ph/0107048 · pith_short_12: 4Q5TDRUEUDNY · pith_short_16: 4Q5TDRUEUDNYLQRH · pith_short_8: 4Q5TDRUE

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/4Q5TDRUEUDNYLQRHOO3LAG6IHA \
  | 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: e43b31c684a0db85c22773b6b01bc83839c497a97fe1ad48336112518bcbeec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5832e84d200c2acc028cf57fa8d2252e2b10ffbe59dbd0b60ceac82befb26a10",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-07-05T13:12:20Z",
    "title_canon_sha256": "0f8d8ac762ebeb6a22ad6707de0e3e182bd7721d7ef1692a072ddf0ddca105e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0107048",
    "kind": "arxiv",
    "version": 2
  }
}