Pith Number

pith:NNZZ5WN7

pith:1994:NNZZ5WN76JAJYASFR35LKNLSWQ

not attested not anchored not stored refs pending

Two-Loop Neutrino Masses and the Solar Neutrino Problem

Biswarup Mukhopadhyaya, Debajyoti Choudhury, J.A. Gracey, Raj Gandhi

arxiv:hep-ph/9401329 v1 · 1994-01-25 · 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{NNZZ5WN76JAJYASFR35LKNLSWQ}

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	2026-05-18T04:12:43.314202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b739ed9bff2409c02458efab53572b414a1f2d1c9be74e5be2b591e6d968f87

Aliases

arxiv: hep-ph/9401329 · arxiv_version: hep-ph/9401329v1 · doi: 10.48550/arxiv.hep-ph/9401329 · pith_short_12: NNZZ5WN76JAJ · pith_short_16: NNZZ5WN76JAJYASF · pith_short_8: NNZZ5WN7

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/NNZZ5WN76JAJYASFR35LKNLSWQ \
  | 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: 6b739ed9bff2409c02458efab53572b414a1f2d1c9be74e5be2b591e6d968f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86cbd259fbc0eae68f3805e206a03221961f87b82f28702fca77ac2d74475a5a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1994-01-25T23:03:42Z",
    "title_canon_sha256": "9af50c21d841a32cdbbe33060361279696f425cc25829cf7d9971653b2bb22f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9401329",
    "kind": "arxiv",
    "version": 1
  }
}