Pith Number

pith:6YP2O5CG

pith:1999:6YP2O5CGSWO2HFWUV6I6YDWFOZ

not attested not anchored not stored refs pending

Masses and mixing angles and going beyond the Standard Model

C.D. Froggatt, H. B. Nielsen

arxiv:hep-ph/9905445 v1 · 1999-05-21 · 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{6YP2O5CGSWO2HFWUV6I6YDWFOZ}

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

Approximate Minimal SU(5), Several Fundamental Scales, Fluctuating Lattice

Receipt and verification

First computed	2026-07-04T14:30:59.600244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61fa77446959da396d4af91ec0ec576683a41995399d822398bc549a1423820

Aliases

arxiv: hep-ph/9905445 · arxiv_version: hep-ph/9905445v1 · doi: 10.48550/arxiv.hep-ph/9905445 · pith_short_12: 6YP2O5CGSWO2 · pith_short_16: 6YP2O5CGSWO2HFWU · pith_short_8: 6YP2O5CG

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/6YP2O5CGSWO2HFWUV6I6YDWFOZ \
  | 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: f61fa77446959da396d4af91ec0ec576683a41995399d822398bc549a1423820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f69e7a92a057ee806d81402672dbe35e225a56e289dd9812570546c2b1b0c21",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-05-21T16:40:33Z",
    "title_canon_sha256": "ad4fdd9b8836c420b6118b011a92b3d5643b3fb266aebf44193182b9081220b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9905445",
    "kind": "arxiv",
    "version": 1
  }
}