Pith Number

pith:SS7A6B6R

pith:2002:SS7A6B6RU6FL7ITB4MXBF7ZMEB

not attested not anchored not stored refs pending

Exact Formula of Probability and CP Violation for Neutrino Oscillations in Matter

A. Takamura, H. Yokomakura, K. Kimura

arxiv:hep-ph/0203099 v2 · 2002-03-10 · hep-ph · hep-ex

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SS7A6B6RU6FL7ITB4MXBF7ZMEB}

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

Torsional four-fermion interaction for Majorana neutrinos

Impact of matter effects on the unitarity test of lepton mixing

Receipt and verification

First computed	2026-07-04T16:34:02.308614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94be0f07d1a78abfa261e32e12ff2c20792c8eb3667098826a8a126cbdd0c634

Aliases

arxiv: hep-ph/0203099 · arxiv_version: hep-ph/0203099v2 · doi: 10.48550/arxiv.hep-ph/0203099 · pith_short_12: SS7A6B6RU6FL · pith_short_16: SS7A6B6RU6FL7ITB · pith_short_8: SS7A6B6R

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/SS7A6B6RU6FL7ITB4MXBF7ZMEB \
  | 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: 94be0f07d1a78abfa261e32e12ff2c20792c8eb3667098826a8a126cbdd0c634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d7addc0e7ff64dd6a9714d201a36ee1944637ea81f8f45f3163572d388fb3f",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-03-10T11:04:14Z",
    "title_canon_sha256": "8a4e644f84a8011aa685f9dacb95a8e6e6729e60bb5ff72674eb32ff91ced2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0203099",
    "kind": "arxiv",
    "version": 2
  }
}