Pith Number

pith:PHN2DUSG

pith:2003:PHN2DUSGALZ4Q6I7OTK76SSLYX

not attested not anchored not stored refs pending

Probing Grand Unification Through Neutrino Oscillations, Leptogenesis, and Proton Decay

Jogesh C. Pati

arxiv:hep-ph/0305221 v2 · 2003-05-20 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHN2DUSGALZ4Q6I7OTK76SSLYX}

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	2026-05-18T02:36:30.847420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79dba1d24602f3c8791f74d5ff4a4bc5d3f35b4b2a3266635cdf46f757d24e74

Aliases

arxiv: hep-ph/0305221 · arxiv_version: hep-ph/0305221v2 · doi: 10.48550/arxiv.hep-ph/0305221 · pith_short_12: PHN2DUSGALZ4 · pith_short_16: PHN2DUSGALZ4Q6I7 · pith_short_8: PHN2DUSG

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/PHN2DUSGALZ4Q6I7OTK76SSLYX \
  | 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: 79dba1d24602f3c8791f74d5ff4a4bc5d3f35b4b2a3266635cdf46f757d24e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b427bb048c3166b733a257081f99dd8a4f00d3c00571f3ab1ac8068346fcf887",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-05-20T15:54:19Z",
    "title_canon_sha256": "17abf7a31c1c9a6f47c2c10f7e44fcdcf493ae916cc879b25a43df540d675c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0305221",
    "kind": "arxiv",
    "version": 2
  }
}