Pith Number

pith:IZKSQF7F

pith:2019:IZKSQF7FPOVKBYE3EDHOK4HDJP

not attested not anchored not stored refs pending

A note on the predictions of models with modular flavor symmetries

Michael Ratz, Mu-Chun Chen, Saul Ramos-Sanchez

arxiv:1909.06910 v1 · 2019-09-15 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZKSQF7FPOVKBYE3EDHOK4HDJP}

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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

Fermion mass relations in one-parameter modular models

Receipt and verification

First computed	2026-07-05T00:26:41.640179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46552817e57baaa0e09b20cee570e34be41362dac6345cbefe3c115d13687e41

Aliases

arxiv: 1909.06910 · arxiv_version: 1909.06910v1 · doi: 10.48550/arxiv.1909.06910 · pith_short_12: IZKSQF7FPOVK · pith_short_16: IZKSQF7FPOVKBYE3 · pith_short_8: IZKSQF7F

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/IZKSQF7FPOVKBYE3EDHOK4HDJP \
  | 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: 46552817e57baaa0e09b20cee570e34be41362dac6345cbefe3c115d13687e41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73fd0d7218683982e61a66eb582d21696c368b685f09077f8ba84fa3676f04a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-09-15T23:37:45Z",
    "title_canon_sha256": "d7f672c245850740574a218733c878fa0325adc3e7a2057538dbee0bcfc7f75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.06910",
    "kind": "arxiv",
    "version": 1
  }
}