Pith Number

pith:ZG4EOMQN

pith:2016:ZG4EOMQNLRTL642GPS2S3OHY7N

not attested not anchored not stored refs pending

On the role of the rotations and Bogoliubov transformations in neutrino mixing

Giuseppe Vitiello, Maria Vittoria Gargiulo, Massimo Blasone

arxiv:1608.04709 v1 · 2016-08-16 · 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{ZG4EOMQNLRTL642GPS2S3OHY7N}

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	2026-05-18T01:04:17.717156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b847320d5c66bf73467cb52db8f8fb5bcaa97b2375ccf5d9d6ca4219381bcf

Aliases

arxiv: 1608.04709 · arxiv_version: 1608.04709v1 · doi: 10.48550/arxiv.1608.04709 · pith_short_12: ZG4EOMQNLRTL · pith_short_16: ZG4EOMQNLRTL642G · pith_short_8: ZG4EOMQN

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/ZG4EOMQNLRTL642GPS2S3OHY7N \
  | 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: c9b847320d5c66bf73467cb52db8f8fb5bcaa97b2375ccf5d9d6ca4219381bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2e5439ac241d4e71e2ca0a2d7b2e8b033907483f834b05a868a93b4f1e5110",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-16T19:02:24Z",
    "title_canon_sha256": "52319c53db08e14505d5cf6694238f53b93c05ded60915b49bd5f7935371f507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04709",
    "kind": "arxiv",
    "version": 1
  }
}