Pith Number

pith:X65W3JNE

pith:2010:X65W3JNEXP33PDIDEVKW5PEPBQ

not attested not anchored not stored refs pending

Tribimaximal Neutrino Mixing from A_4 Replication

Christopher D. Carone, Richard F. Lebed

arxiv:1011.6379 v2 · 2010-11-29 · 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{X65W3JNEXP33PDIDEVKW5PEPBQ}

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	2026-05-18T04:28:38.987981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbb6da5a4bbf7b78d0325556ebc8f0c2bbd875f278384ec8fb02de786fd3d2d

Aliases

arxiv: 1011.6379 · arxiv_version: 1011.6379v2 · doi: 10.48550/arxiv.1011.6379 · pith_short_12: X65W3JNEXP33 · pith_short_16: X65W3JNEXP33PDID · pith_short_8: X65W3JNE

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/X65W3JNEXP33PDIDEVKW5PEPBQ \
  | 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: bfbb6da5a4bbf7b78d0325556ebc8f0c2bbd875f278384ec8fb02de786fd3d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe74f03c79eb6fa1ca6091e3cf13824053ca355401a21ced3a44147252ece07e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-11-29T21:00:55Z",
    "title_canon_sha256": "4ead9d72185af92331c27e36e89b89a3b681e226e0172d4913c2ac36905dc075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6379",
    "kind": "arxiv",
    "version": 2
  }
}