Pith Number

pith:PLEEVNWA

pith:2019:PLEEVNWA7TOG3PDF6AR2BQSZE7

not attested not anchored not stored refs pending

Total and geometric phases, Majorana and Dirac neutrinos

Antonio Capolupo

arxiv:1904.05888 v1 · 2019-04-11 · 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{PLEEVNWA7TOG3PDF6AR2BQSZE7}

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	2026-05-17T23:48:44.790550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ac84ab6c0fcdc6dbc65f023a0c25927df403513a5e883c8be1349b3b6b8f7ce

Aliases

arxiv: 1904.05888 · arxiv_version: 1904.05888v1 · doi: 10.48550/arxiv.1904.05888 · pith_short_12: PLEEVNWA7TOG · pith_short_16: PLEEVNWA7TOG3PDF · pith_short_8: PLEEVNWA

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/PLEEVNWA7TOG3PDF6AR2BQSZE7 \
  | 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: 7ac84ab6c0fcdc6dbc65f023a0c25927df403513a5e883c8be1349b3b6b8f7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f9c13d3cd12bb026a9b309ddc4babd41d86f734feb37283547342ae12796d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-04-11T15:59:51Z",
    "title_canon_sha256": "641eb80362c21ef49ca84cb10e1f96cd8860aa5a81d1741fdcde401c60d93129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05888",
    "kind": "arxiv",
    "version": 1
  }
}