Pith Number

pith:I4GPBPCC

pith:2015:I4GPBPCC75H5XX2WHSB2QQWGWQ

not attested not anchored not stored refs pending

Neutrino Mass Matrices with Two Vanishing Elements/Cofactors

Desh Raj, Lal Singh, S. Dev

arxiv:1506.04951 v1 · 2015-06-16 · 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{I4GPBPCC75H5XX2WHSB2QQWGWQ}

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	2026-05-18T01:31:38.377577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

470cf0bc42ff4fdbdf563c83a842c6b4290188fa4083edf6f26c3694eeee4871

Aliases

arxiv: 1506.04951 · arxiv_version: 1506.04951v1 · doi: 10.48550/arxiv.1506.04951 · pith_short_12: I4GPBPCC75H5 · pith_short_16: I4GPBPCC75H5XX2W · pith_short_8: I4GPBPCC

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/I4GPBPCC75H5XX2WHSB2QQWGWQ \
  | 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: 470cf0bc42ff4fdbdf563c83a842c6b4290188fa4083edf6f26c3694eeee4871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd13868a0b8ad5f1eb18c35ec8f10d7f4a058874b790d3287b41386e584a65c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-06-16T12:58:55Z",
    "title_canon_sha256": "2912320fd1dbb6cbf76ff116bde5c9dc7539f88b6af9ca0dec86942457508daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04951",
    "kind": "arxiv",
    "version": 1
  }
}