Pith Number

pith:DG5VEWBH

pith:2021:DG5VEWBHN2COLB3HS6II5IJLPT

not attested not anchored not stored refs pending

Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds

Hikaru Uchida, Shota Kikuchi, Tatsuo Kobayashi

arxiv:2101.00826 v2 · 2021-01-04 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DG5VEWBHN2COLB3HS6II5IJLPT}

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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

2 papers in Pith

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

Massive modes on magnetized blow-up manifold of $T^2/\mathbb{Z}_N$

Receipt and verification

First computed	2026-07-05T03:35:27.243626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19bb5258276e84e5876797908ea12b7cf41d0c78b1ea3a753e87e54f27ab8742

Aliases

arxiv: 2101.00826 · arxiv_version: 2101.00826v2 · doi: 10.48550/arxiv.2101.00826 · pith_short_12: DG5VEWBHN2CO · pith_short_16: DG5VEWBHN2COLB3H · pith_short_8: DG5VEWBH

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/DG5VEWBHN2COLB3HS6II5IJLPT \
  | 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: 19bb5258276e84e5876797908ea12b7cf41d0c78b1ea3a753e87e54f27ab8742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cca30eb50b5dc6928e1620aa1de5718791cf11383d2b9a2318b7c623cdfd0d0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-01-04T08:29:47Z",
    "title_canon_sha256": "7685b42b7734709d19f6db4c435237fac3e009111b052d9b0751e522dc985673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.00826",
    "kind": "arxiv",
    "version": 2
  }
}