Pith Number

pith:RZBEPTFY

pith:1993:RZBEPTFYGTLMUNORKAI4J6UM6R

not attested not anchored not stored refs pending

Approximate Flavor Symmetries in the Lepton Sector

Andrija Ra\v{s}in, Jo\~ao P. Silva

arxiv:hep-ph/9309240 v1 · 1993-09-07 · 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{RZBEPTFYGTLMUNORKAI4J6UM6R}

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.

Receipt and verification

First computed	2026-05-18T01:09:17.036730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4247ccb834d6ca35d15011c4fa8cf466dd47c1840ef84f70272e571c597f36

Aliases

arxiv: hep-ph/9309240 · arxiv_version: hep-ph/9309240v1 · doi: 10.48550/arxiv.hep-ph/9309240 · pith_short_12: RZBEPTFYGTLM · pith_short_16: RZBEPTFYGTLMUNOR · pith_short_8: RZBEPTFY

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/RZBEPTFYGTLMUNORKAI4J6UM6R \
  | 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: 8e4247ccb834d6ca35d15011c4fa8cf466dd47c1840ef84f70272e571c597f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4fa80a969b0cb8c76957408e54d6924499b3adeaff3b313eff059dc6dc0925d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1993-09-07T23:54:06Z",
    "title_canon_sha256": "c293fc2076abc91dd10fa3534a24d76471423df55cd433245e2dcccb3c965e4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9309240",
    "kind": "arxiv",
    "version": 1
  }
}