Pith Number

pith:J2PN2UFS

pith:2016:J2PN2UFSRXK72UDIPK6S3MPZFU

not attested not anchored not stored refs pending

Coxeter groups and the PMNS matrix

Palash B. Pal, Pritibhajan Byakti

arxiv:1601.08063 v4 · 2016-01-29 · 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{J2PN2UFSRXK72UDIPK6S3MPZFU}

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	2026-05-18T00:28:57.142974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9edd50b28dd5fd50687abd2db1f92d3c40f818d94816260c68f7148d50b237

Aliases

arxiv: 1601.08063 · arxiv_version: 1601.08063v4 · doi: 10.48550/arxiv.1601.08063 · pith_short_12: J2PN2UFSRXK7 · pith_short_16: J2PN2UFSRXK72UDI · pith_short_8: J2PN2UFS

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/J2PN2UFSRXK72UDIPK6S3MPZFU \
  | 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: 4e9edd50b28dd5fd50687abd2db1f92d3c40f818d94816260c68f7148d50b237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b45f2d467a5d0ee38b6f05f8a3d47c5112e5bcab2adad5cc6d89faba05d8ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-01-29T11:48:33Z",
    "title_canon_sha256": "7d2a7a02c913c89553368dc4a8ededfe3856f1eecd1aef34e509896b7b083942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08063",
    "kind": "arxiv",
    "version": 4
  }
}