Pith Number

pith:BRPA3BKM

pith:2020:BRPA3BKM4BHUM5XS452UBAGI5L

not attested not anchored not stored refs pending

Spontaneous CP violation and symplectic modular symmetry in Calabi-Yau compactifications

Hajime Otsuka, Keiya Ishiguro, Tatsuo Kobayashi

arxiv:2010.10782 v2 · 2020-10-21 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRPA3BKM4BHUM5XS452UBAGI5L}

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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

More about modular symmetries and non-invertible properties in magnetized compactifications

Receipt and verification

First computed	2026-07-05T03:30:07.341809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c5e0d854ce04f4676f2e7754080c8eaf9800cd6ccbb02fd673f6433e884d9e0

Aliases

arxiv: 2010.10782 · arxiv_version: 2010.10782v2 · doi: 10.48550/arxiv.2010.10782 · pith_short_12: BRPA3BKM4BHU · pith_short_16: BRPA3BKM4BHUM5XS · pith_short_8: BRPA3BKM

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/BRPA3BKM4BHUM5XS452UBAGI5L \
  | 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: 0c5e0d854ce04f4676f2e7754080c8eaf9800cd6ccbb02fd673f6433e884d9e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ab8b90c6925246734f34d149bf0e6cb4948f8e4d56641bcec7b6c95f57f5d8",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-10-21T06:23:18Z",
    "title_canon_sha256": "449ddcf9ee14ecfe57312fa2758f3468c11fcc6b9080b5f6a7af5408fc257a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10782",
    "kind": "arxiv",
    "version": 2
  }
}