Pith Number

pith:PT5PR7NS

pith:2016:PT5PR7NSQMQA7JI4SELV2P7TC6

not attested not anchored not stored refs pending

A Probability Density Function for Neutrino Masses and Mixings

Jean-Fran\c{c}ois Fortin, Luc Marleau, Nicolas Giasson

arxiv:1609.08581 v2 · 2016-09-27 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PT5PR7NSQMQA7JI4SELV2P7TC6}

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	2026-05-18T00:48:42.332722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfaf8fdb283200fa51c91175d3ff317a27e8259aaaeba0297e93dd68962d334

Aliases

arxiv: 1609.08581 · arxiv_version: 1609.08581v2 · doi: 10.48550/arxiv.1609.08581 · pith_short_12: PT5PR7NSQMQA · pith_short_16: PT5PR7NSQMQA7JI4 · pith_short_8: PT5PR7NS

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/PT5PR7NSQMQA7JI4SELV2P7TC6 \
  | 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: 7cfaf8fdb283200fa51c91175d3ff317a27e8259aaaeba0297e93dd68962d334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5fada0a7ee69fcee2d6858e42c34beab0794f4c0ef105e7c3876ab270433ff",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-09-27T19:02:47Z",
    "title_canon_sha256": "9131da5e56c0498a617752bc5d3031e77771a7749e81f1f6ed127a2a62779af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08581",
    "kind": "arxiv",
    "version": 2
  }
}