Pith Number

pith:PZXP6SJY

pith:1997:PZXP6SJYJZE6BILPQZCP4H6XKR

not attested not anchored not stored refs pending

Flavor Symmetries and the Description of Flavor Mixing

H. Fritzsch, Z.Z. Xing

arxiv:hep-ph/9707215 v1 · 1997-07-02 · 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{PZXP6SJYJZE6BILPQZCP4H6XKR}

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

2 papers in Pith

Rephasing invariant CP phases and sum rules in TM$_{1,2}$ mixing

Rephasing invariant structure of CP phase for simplified mixing matrices in Fritzsch--Xing parametrization

Receipt and verification

First computed	2026-07-04T17:25:24.300619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e6eff49384e49e0a16f8644fe1fd7546368c9a5c1e5627d0e05e0678a4010c9

Aliases

arxiv: hep-ph/9707215 · arxiv_version: hep-ph/9707215v1 · doi: 10.48550/arxiv.hep-ph/9707215 · pith_short_12: PZXP6SJYJZE6 · pith_short_16: PZXP6SJYJZE6BILP · pith_short_8: PZXP6SJY

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/PZXP6SJYJZE6BILPQZCP4H6XKR \
  | 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: 7e6eff49384e49e0a16f8644fe1fd7546368c9a5c1e5627d0e05e0678a4010c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "821d5a57bbd2dd2f4bcca7d445ed1ad649f9822487c63ab4a23c4ed1b0c27b5b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-07-02T00:34:39Z",
    "title_canon_sha256": "64eb2a1e87a80552cedf5db766d45672d53a3cf48ef878a76db5e100c312eb8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9707215",
    "kind": "arxiv",
    "version": 1
  }
}