Pith Number

pith:3NVPGIDG

pith:2001:3NVPGIDGLH3NN4FZBOSXXI3RM2

not attested not anchored not stored refs pending

SO(10) grand unification in five dimensions: Proton decay and the mu problem

Arash Mafi, Radovan Dermisek

arxiv:hep-ph/0108139 v1 · 2001-08-17 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NVPGIDGLH3NN4FZBOSXXI3RM2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:35:25.004474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6af3206659f6d6f0b90ba57ba371668efb7ddb70e6e1abd4d43d81bf2967ac

Aliases

arxiv: hep-ph/0108139 · arxiv_version: hep-ph/0108139v1 · doi: 10.48550/arxiv.hep-ph/0108139 · pith_short_12: 3NVPGIDGLH3N · pith_short_16: 3NVPGIDGLH3NN4FZ · pith_short_8: 3NVPGIDG

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/3NVPGIDGLH3NN4FZBOSXXI3RM2 \
  | 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: db6af3206659f6d6f0b90ba57ba371668efb7ddb70e6e1abd4d43d81bf2967ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589102b398dbc6b6f6a740a50b839e21ce87cd8cdfde7d17642385008c295f4e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-08-17T22:34:21Z",
    "title_canon_sha256": "a1a756f94308c5376a9a9891293e54faeb73302d47eee640f1a2ff8c0809fb2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0108139",
    "kind": "arxiv",
    "version": 1
  }
}