Pith Number

pith:PGDATX4N

pith:2011:PGDATX4NEVNXWZUVOBSTF43KQJ

not attested not anchored not stored refs pending

Neutrino loops from neutrino mixing

Adam Latosinski, Hermann Nicolai, Krzysztof A. Meissner

arxiv:1112.0134 v1 · 2011-12-01 · 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{PGDATX4NEVNXWZUVOBSTF43KQJ}

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	2026-05-18T04:07:16.845170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798609df8d255b7b6695706532f36a82540e31a8cfe07a465e45142cab6a8fef

Aliases

arxiv: 1112.0134 · arxiv_version: 1112.0134v1 · doi: 10.48550/arxiv.1112.0134 · pith_short_12: PGDATX4NEVNX · pith_short_16: PGDATX4NEVNXWZUV · pith_short_8: PGDATX4N

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/PGDATX4NEVNXWZUVOBSTF43KQJ \
  | 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: 798609df8d255b7b6695706532f36a82540e31a8cfe07a465e45142cab6a8fef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a4b232bf4bfa449636f91728b8cd02504eeb55709c25ca7f458ab346d5530e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-12-01T10:50:56Z",
    "title_canon_sha256": "a757019a8af63a494e2ba7a47b00db1a979698c99e6d2e7dd8e16e267f8170e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0134",
    "kind": "arxiv",
    "version": 1
  }
}