Pith Number

pith:V3YLD3ES

pith:2006:V3YLD3ESXIKRY25ODVF22NNGH7

not attested not anchored not stored refs pending

Neutrino Mass Matrix from Delta(27) Symmetry

Ernest Ma (UC Riverside)

arxiv:hep-ph/0607056 v2 · 2006-07-05 · 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{V3YLD3ESXIKRY25ODVF22NNGH7}

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	2026-05-18T04:37:00.199593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef0b1ec92ba151c6bae1d4bad35a63ffa73724474a29250f8db9b5e979131d7

Aliases

arxiv: hep-ph/0607056 · arxiv_version: hep-ph/0607056v2 · doi: 10.48550/arxiv.hep-ph/0607056 · pith_short_12: V3YLD3ESXIKR · pith_short_16: V3YLD3ESXIKRY25O · pith_short_8: V3YLD3ES

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/V3YLD3ESXIKRY25ODVF22NNGH7 \
  | 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: aef0b1ec92ba151c6bae1d4bad35a63ffa73724474a29250f8db9b5e979131d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671ea3881abcc9ffd1748059ab26cbbaba900053e268f8123da08c5a2f1ec0b5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-07-05T16:04:48Z",
    "title_canon_sha256": "52c0e940c52465de8bb970f5cb0defb86f209baea172a140d76b986014b93b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0607056",
    "kind": "arxiv",
    "version": 2
  }
}