Pith Number

pith:HHN2N6G5

pith:2021:HHN2N6G5REXOV2F2TXRUSCTJG6

not attested not anchored not stored refs pending

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries

Hajime Otsuka, Keiya Ishiguro, Tatsuo Kobayashi

arxiv:2107.00487 v2 · 2021-07-01 · 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{HHN2N6G5REXOV2F2TXRUSCTJG6}

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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	2026-07-05T03:46:44.964656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39dba6f8dd892eeae8ba9de3490a6937be93f4f1501acae509c81468bef009ac

Aliases

arxiv: 2107.00487 · arxiv_version: 2107.00487v2 · doi: 10.48550/arxiv.2107.00487 · pith_short_12: HHN2N6G5REXO · pith_short_16: HHN2N6G5REXOV2F2 · pith_short_8: HHN2N6G5

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/HHN2N6G5REXOV2F2TXRUSCTJG6 \
  | 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: 39dba6f8dd892eeae8ba9de3490a6937be93f4f1501acae509c81468bef009ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915146efe650c54897201584f78685a1982022a5633d6885acbfcf0ff58d0f4a",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-01T14:27:01Z",
    "title_canon_sha256": "bf5a25122f413cc02cbf625ba8b528e830147150e6e354b95b651a9a21a67b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00487",
    "kind": "arxiv",
    "version": 2
  }
}