Pith Number

pith:GJLCPCPD

pith:2006:GJLCPCPDK5M7EEYGPKCVNQ3E4Q

not attested not anchored not stored refs pending

Stringy origin of non-Abelian discrete flavor symmetries

Felix Pl\"oger, Hans Peter Nilles, Michael Ratz, Stuart Raby, Tatsuo Kobayashi

arxiv:hep-ph/0611020 v2 · 2006-11-02 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJLCPCPDK5M7EEYGPKCVNQ3E4Q}

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

1 paper in Pith

Dynamical CP Violation from Non-Invertible Selection Rules

Receipt and verification

First computed	2026-07-04T15:22:03.589483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32562789e35759f213067a8556c364e43bb7e2de42f4bfc4088f40ea318a5c99

Aliases

arxiv: hep-ph/0611020 · arxiv_version: hep-ph/0611020v2 · doi: 10.48550/arxiv.hep-ph/0611020 · pith_short_12: GJLCPCPDK5M7 · pith_short_16: GJLCPCPDK5M7EEYG · pith_short_8: GJLCPCPD

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/GJLCPCPDK5M7EEYGPKCVNQ3E4Q \
  | 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: 32562789e35759f213067a8556c364e43bb7e2de42f4bfc4088f40ea318a5c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b118269ea86344d000bc8f25ed731d4d4ef891da3fba1af05f0d1b053743eb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-11-02T08:03:48Z",
    "title_canon_sha256": "29c305feb6fd2685f380029928c599b519dac9b2590b4f31d893037cd66dab2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0611020",
    "kind": "arxiv",
    "version": 2
  }
}