Pith Number

pith:IXDWTITN

pith:2024:IXDWTITNR3BVQFBRVTNBUYMGD5

not attested not anchored not stored refs pending

Modular symmetry of localized modes

Hajime Otsuka, Hikaru Uchida, Shohei Takada, Tatsuo Kobayashi

arxiv:2410.05788 v2 · 2024-10-08 · hep-th · 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{IXDWTITNR3BVQFBRVTNBUYMGD5}

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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	2026-07-05T10:01:16.739554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c769a26d8ec3581431acda1a61861f5162dd121207ccba547a8509fa328076

Aliases

arxiv: 2410.05788 · arxiv_version: 2410.05788v2 · doi: 10.48550/arxiv.2410.05788 · pith_short_12: IXDWTITNR3BV · pith_short_16: IXDWTITNR3BVQFBR · pith_short_8: IXDWTITN

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/IXDWTITNR3BVQFBRVTNBUYMGD5 \
  | 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: 45c769a26d8ec3581431acda1a61861f5162dd121207ccba547a8509fa328076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb80d4dfe41b9d1f81d55b90e01c909f661ec3b4885446b5849d5ef5f112847a",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-10-08T08:16:05Z",
    "title_canon_sha256": "ffe5644816de06bf2081598b87cc7766da8fb0f92527830532df8908e1a85b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.05788",
    "kind": "arxiv",
    "version": 2
  }
}