Pith Number

pith:3YKROWXB

pith:2000:3YKROWXBKTEUW27WOHT4VCHYHV

not attested not anchored not stored refs pending

K0-anti-K0 mixing in the 1/Nc expansion

Barcelona), Eduardo de Rafael (CPT, Marseille), Santiago Peris (UAB

arxiv:hep-ph/0006146 v3 · 2000-06-13 · 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{3YKROWXBKTEUW27WOHT4VCHYHV}

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	2026-07-04T15:27:20.074912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de15175ae154c94b6bf671e7ca88f83d41580c377c8a3ad85629d6778e8eaa40

Aliases

arxiv: hep-ph/0006146 · arxiv_version: hep-ph/0006146v3 · doi: 10.48550/arxiv.hep-ph/0006146 · pith_short_12: 3YKROWXBKTEU · pith_short_16: 3YKROWXBKTEUW27W · pith_short_8: 3YKROWXB

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/3YKROWXBKTEUW27WOHT4VCHYHV \
  | 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: de15175ae154c94b6bf671e7ca88f83d41580c377c8a3ad85629d6778e8eaa40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e384aaab139468f12d4b55b9ba863357aebe28e1bd815424244b97003839de",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-06-13T21:10:14Z",
    "title_canon_sha256": "bebc74b1ecf2fcaf6684389ddf0257054f1a268135d781e3722b0f6b770b3a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0006146",
    "kind": "arxiv",
    "version": 3
  }
}