Pith Number

pith:L3MFEQNT

pith:2005:L3MFEQNTSBC6X7YDNUREGPG2HR

not attested not anchored not stored refs pending

Why is the $3\times 3$ neutrino mixing matrix almost unitary in realistic seesaw models?

Shun Zhou, Zhi-zhong Xing

arxiv:hep-ph/0512290 v1 · 2005-12-22 · 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{L3MFEQNTSBC6X7YDNUREGPG2HR}

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	2026-07-04T14:52:10.032782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed85241b39045ebff036d22433cda3c46465466555b9b8c39e9e93152db250d

Aliases

arxiv: hep-ph/0512290 · arxiv_version: hep-ph/0512290v1 · doi: 10.48550/arxiv.hep-ph/0512290 · pith_short_12: L3MFEQNTSBC6 · pith_short_16: L3MFEQNTSBC6X7YD · pith_short_8: L3MFEQNT

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/L3MFEQNTSBC6X7YDNUREGPG2HR \
  | 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: 5ed85241b39045ebff036d22433cda3c46465466555b9b8c39e9e93152db250d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3128c89756f1b567bec1f662635bd592284a40d49df8b92c699765c545f00aa4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-12-22T09:18:15Z",
    "title_canon_sha256": "650791e8351af19be772d2b0531545ab0b37b16796d6bd089af6b61f5b9d5fdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0512290",
    "kind": "arxiv",
    "version": 1
  }
}