Pith Number

pith:TRFS75X2

pith:1998:TRFS75X2U2L4W4IQOOXSCOIQXD

not attested not anchored not stored refs pending

Family Symmetry and Neutrino Mixing

John K. Elwood, Nikolaos Irges, Pierre Ramond

arxiv:hep-ph/9807228 v2 · 1998-07-02 · 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{TRFS75X2U2L4W4IQOOXSCOIQXD}

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

Maximal Abelian Flavor Symmetries

Receipt and verification

First computed	2026-07-04T16:09:19.470635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4b2ff6faa697cb711073af213910b8cbb2842918fd693560632aced15d846d

Aliases

arxiv: hep-ph/9807228 · arxiv_version: hep-ph/9807228v2 · doi: 10.48550/arxiv.hep-ph/9807228 · pith_short_12: TRFS75X2U2L4 · pith_short_16: TRFS75X2U2L4W4IQ · pith_short_8: TRFS75X2

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/TRFS75X2U2L4W4IQOOXSCOIQXD \
  | 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: 9c4b2ff6faa697cb711073af213910b8cbb2842918fd693560632aced15d846d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed3e2997ec431f5e8ca2c7f93f36e7bc0accacb08a194fcbc439239e752f635",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-07-02T20:02:16Z",
    "title_canon_sha256": "d3f6e7878fdb4da344b44c71eb37791133b1403715700b4700e8e258d6618777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9807228",
    "kind": "arxiv",
    "version": 2
  }
}