Pith Number

pith:AFCFFY4M

pith:2024:AFCFFY4MD5G4BD6TTRUXTBFSOS

not attested not anchored not stored refs pending

Pati-Salam models with $A_4$ modular symmetry

Bu-Yao Qu, Gui-Jun Ding, Jun-Nan Lu, Si-Yi Jiang, Stephen F. King

arxiv:2404.06520 v1 · 2024-04-06 · 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{AFCFFY4MD5G4BD6TTRUXTBFSOS}

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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

Two-loop neutrino mass model with modular $S_4$ symmetry

Receipt and verification

First computed	2026-07-05T08:06:13.323708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

014452e38c1f4dc08fd39c697984b274bfbfb9e3ca8b8f37dd87fd6d2bd4c24d

Aliases

arxiv: 2404.06520 · arxiv_version: 2404.06520v1 · doi: 10.48550/arxiv.2404.06520 · pith_short_12: AFCFFY4MD5G4 · pith_short_16: AFCFFY4MD5G4BD6T · pith_short_8: AFCFFY4M

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/AFCFFY4MD5G4BD6TTRUXTBFSOS \
  | 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: 014452e38c1f4dc08fd39c697984b274bfbfb9e3ca8b8f37dd87fd6d2bd4c24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5672e15befa6d1ebbfd396cf5c8143b66563e6e627b1691c6ed24364014e17a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-04-06T17:03:02Z",
    "title_canon_sha256": "8f6a5fd7287c534407222caded5b15a24d57ce31124e616aa9b9c954c1ba1926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.06520",
    "kind": "arxiv",
    "version": 1
  }
}