Pith Number

pith:56WIFEFU

pith:2002:56WIFEFUO5DTOIBSTC7ODZ7QS4

not attested not anchored not stored refs pending

Neutrinos, Grand Unification and Leptogenesis

W. Buchm\"uller

arxiv:hep-ph/0204288 v2 · 2002-04-24 · hep-ph · astro-ph · hep-ex · 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{56WIFEFUO5DTOIBSTC7ODZ7QS4}

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.

Cited by

1 paper in Pith

Missing matter in galaxies as a neutrino mixing effect

Receipt and verification

First computed	2026-07-04T14:28:13.386544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efac8290b4774737203298bee1e7f097286fbbc53d086b7af9e4f538657eeb37

Aliases

arxiv: hep-ph/0204288 · arxiv_version: hep-ph/0204288v2 · doi: 10.48550/arxiv.hep-ph/0204288 · pith_short_12: 56WIFEFUO5DT · pith_short_16: 56WIFEFUO5DTOIBS · pith_short_8: 56WIFEFU

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/56WIFEFUO5DTOIBSTC7ODZ7QS4 \
  | 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: efac8290b4774737203298bee1e7f097286fbbc53d086b7af9e4f538657eeb37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4908e0789c33fa6b1bbf805ef0969f4bf022e5ded76e2ea0ed35bb81890deef6",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ex",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-04-24T17:18:17Z",
    "title_canon_sha256": "9d474dbe1338ce8253aab6cf41fa8ea9fd7a12ce98d7ee2fe25eeb4a135a8df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0204288",
    "kind": "arxiv",
    "version": 2
  }
}