Pith Number

pith:PSG6VZCV

pith:2020:PSG6VZCVWH2DTEAUA7UEN6WXNM

not attested not anchored not stored refs pending

Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of $\Gamma_N$

Hajime Otsuka, Hikaru Uchida, Shintaro Takada, Shota Kikuchi, Tatsuo Kobayashi

arxiv:2007.06188 v1 · 2020-07-13 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSG6VZCVWH2DTEAUA7UEN6WXNM}

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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

Quark hierarchies and CP violation from the Siegel modular group

Receipt and verification

First computed	2026-07-05T02:02:22.148385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8deae455b1f439901407e846fad76b07eb3bdb208a8f704f50e196844317d3

Aliases

arxiv: 2007.06188 · arxiv_version: 2007.06188v1 · doi: 10.48550/arxiv.2007.06188 · pith_short_12: PSG6VZCVWH2D · pith_short_16: PSG6VZCVWH2DTEAU · pith_short_8: PSG6VZCV

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/PSG6VZCVWH2DTEAUA7UEN6WXNM \
  | 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: 7c8deae455b1f439901407e846fad76b07eb3bdb208a8f704f50e196844317d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642e896fb5a0a6fe897d136aebafaafdfa3c2c91af27cca0bb9326659b993e63",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-07-13T04:55:20Z",
    "title_canon_sha256": "32a0621b9d93d0d80dfe0c9be7f99fb744ac2f2f84f7eaa4cddfdcaa65ce54fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06188",
    "kind": "arxiv",
    "version": 1
  }
}