Pith Number

pith:FOFB7CKJ

pith:2005:FOFB7CKJ34BRRPYLZOWGU7X4I3

not attested not anchored not stored refs pending

The $b \to s$ penguin amplitude in charmless $B \to PP$ decays

Jonathan L. Rosner, Michael Gronau

arxiv:hep-ph/0503131 v7 · 2005-03-14 · 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{FOFB7CKJ34BRRPYLZOWGU7X4I3}

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	2026-05-18T02:36:20.067777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8a1f8949df0318bf0bcbac6a7efc46c23513685735123bb7fe2abc3f0690c4

Aliases

arxiv: hep-ph/0503131 · arxiv_version: hep-ph/0503131v7 · doi: 10.48550/arxiv.hep-ph/0503131 · pith_short_12: FOFB7CKJ34BR · pith_short_16: FOFB7CKJ34BRRPYL · pith_short_8: FOFB7CKJ

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/FOFB7CKJ34BRRPYLZOWGU7X4I3 \
  | 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: 2b8a1f8949df0318bf0bcbac6a7efc46c23513685735123bb7fe2abc3f0690c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928f291d67ffa7d296048cda1f42f666107b9e94e57cb11f481cc6a83c4d307f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-03-14T18:20:11Z",
    "title_canon_sha256": "2c933feba2d4fd6cb44fcc0d94097e3f63856121d4a8fe36cde4cc005d81c8d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0503131",
    "kind": "arxiv",
    "version": 7
  }
}