Pith Number

pith:P3U6LYZ6

pith:2016:P3U6LYZ6X6PKWTBQHARCPQ5VVP

not attested not anchored not stored refs pending

Symmetries of Massive and Massless Neutrinos

Y.S. Kim

arxiv:1609.07095 v1 · 2016-09-22 · hep-ph · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3U6LYZ6X6PKWTBQHARCPQ5VVP}

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	2026-05-18T01:04:04.477978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee9e5e33ebf9eab4c30382227c3b5abf4374abe84f1ac9303e08f88d0c66772

Aliases

arxiv: 1609.07095 · arxiv_version: 1609.07095v1 · doi: 10.48550/arxiv.1609.07095 · pith_short_12: P3U6LYZ6X6PK · pith_short_16: P3U6LYZ6X6PKWTBQ · pith_short_8: P3U6LYZ6

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/P3U6LYZ6X6PKWTBQHARCPQ5VVP \
  | 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: 7ee9e5e33ebf9eab4c30382227c3b5abf4374abe84f1ac9303e08f88d0c66772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1250ac2d945e3403eae81e2c2f893e25b01b43b59534fa39481f835a9bd97320",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-09-22T18:14:30Z",
    "title_canon_sha256": "f76a433eb4935df902519928deb95501acb31978cf54262a5762a70adcbc3990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07095",
    "kind": "arxiv",
    "version": 1
  }
}