Pith Number

pith:57BVY3SC

pith:2021:57BVY3SCZZFAMHAGTM3ZFKHJOA

not attested not anchored not stored refs pending

Non$-$zero $ \theta_{13} $ and $ \delta_{CP} $ phase with $ A_{4} $ Flavor Symmetry and Deviations to Tri$-$Bi$-$Maximal mixing via $ Z_{2} \times Z_{2}$ invariant perturbations in the Neutrino sector

Gayatri Ghosh

arxiv:2106.12503 v5 · 2021-06-23 · 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{57BVY3SCZZFAMHAGTM3ZFKHJOA}

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	2026-07-05T04:11:06.339079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc35c6e42ce4a061c069b3792a8e970380273daf186b778ac350e3ae5d212e2

Aliases

arxiv: 2106.12503 · arxiv_version: 2106.12503v5 · doi: 10.48550/arxiv.2106.12503 · pith_short_12: 57BVY3SCZZFA · pith_short_16: 57BVY3SCZZFAMHAG · pith_short_8: 57BVY3SC

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/57BVY3SCZZFAMHAGTM3ZFKHJOA \
  | 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: efc35c6e42ce4a061c069b3792a8e970380273daf186b778ac350e3ae5d212e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daed9f2a52b05b595b05a5a3eadcc0710c2a20a945c54c9d6beb3c5f5d975228",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-06-23T16:22:07Z",
    "title_canon_sha256": "cd935f2aee8f358d53bffc7b2a97ea25471e3c239110284dd03d3e05cd81eda6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12503",
    "kind": "arxiv",
    "version": 5
  }
}