Pith Number

pith:QATYPGGL

pith:2017:QATYPGGLDP4MVKIFQACWCI72AM

not attested not anchored not stored refs pending

Involution symmetries and the PMNS matrix

Palash B. Pal, Pritibhajan Byakti

arxiv:1710.10459 v1 · 2017-10-28 · 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{QATYPGGLDP4MVKIFQACWCI72AM}

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	2026-05-18T00:31:11.149714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80278798cb1bf8caa90580056123fa033c56ee0055465e2962a14e85235914a1

Aliases

arxiv: 1710.10459 · arxiv_version: 1710.10459v1 · doi: 10.48550/arxiv.1710.10459 · pith_short_12: QATYPGGLDP4M · pith_short_16: QATYPGGLDP4MVKIF · pith_short_8: QATYPGGL

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/QATYPGGLDP4MVKIFQACWCI72AM \
  | 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: 80278798cb1bf8caa90580056123fa033c56ee0055465e2962a14e85235914a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8cc0f72f672960f82b4d253f5a686c7b2a331a3190dff6a344e4ddb7d8919d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-10-28T12:51:12Z",
    "title_canon_sha256": "28b35c0dfaa7c1149139b3cb2aac3e30c3e2fcb53cf05bd7a8131f087e97f1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10459",
    "kind": "arxiv",
    "version": 1
  }
}