Pith Number

pith:LUH5PMBX

pith:2023:LUH5PMBXCLO5Q57UMM7WUCVGO7

not attested not anchored not stored refs pending

Neutrino Mass Sum Rules from Modular $\mathcal{A}_4$ Symmetry

Oleg Popov, Rahul Srivastava, Ranjeet Kumar, Salvador Centelles Chuli\'a

arxiv:2308.08981 v2 · 2023-08-17 · 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{LUH5PMBXCLO5Q57UMM7WUCVGO7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

The Future of Lepton Flavor

Fate of $\theta_{12}$ under $\mu-\tau$ Reflection Symmetry in Light of the First JUNO Results

Receipt and verification

First computed	2026-07-05T07:47:44.401140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0fd7b03712ddd877f4633f6a0aa677ca2ce221f8a53c37b2b1265f7e79f6d6

Aliases

arxiv: 2308.08981 · arxiv_version: 2308.08981v2 · doi: 10.48550/arxiv.2308.08981 · pith_short_12: LUH5PMBXCLO5 · pith_short_16: LUH5PMBXCLO5Q57U · pith_short_8: LUH5PMBX

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/LUH5PMBXCLO5Q57UMM7WUCVGO7 \
  | 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: 5d0fd7b03712ddd877f4633f6a0aa677ca2ce221f8a53c37b2b1265f7e79f6d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b19a4e520110a1a59fd02e73614895f3f8aa91b315b357de069dc6aeb2cff9f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-08-17T13:44:17Z",
    "title_canon_sha256": "0ca3cd5370f45701b281f5d63bb0388325aa21a7bd03bd753f14bbfbcce241fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.08981",
    "kind": "arxiv",
    "version": 2
  }
}