Pith Number

pith:BWDOCYZU

pith:2009:BWDOCYZULFZAMNHSKNLE6WHJW7

not attested not anchored not stored refs pending

GUT predictions for quark and lepton mass ratios

Martin Spinrath, Stefan Antusch

arxiv:0908.1520 v1 · 2009-08-11 · 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{BWDOCYZULFZAMNHSKNLE6WHJW7}

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	2026-05-18T02:12:35.595992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d86e1633459720634f253564f58e9b7f1eb7112feaacb1ed2bb79951b6df20e

Aliases

arxiv: 0908.1520 · arxiv_version: 0908.1520v1 · doi: 10.48550/arxiv.0908.1520 · pith_short_12: BWDOCYZULFZA · pith_short_16: BWDOCYZULFZAMNHS · pith_short_8: BWDOCYZU

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/BWDOCYZULFZAMNHSKNLE6WHJW7 \
  | 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: 0d86e1633459720634f253564f58e9b7f1eb7112feaacb1ed2bb79951b6df20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc9d88529e1d9fe539a4010f3382053a8f84e443ef6fec54b9b242aee7a7f69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-08-11T14:54:43Z",
    "title_canon_sha256": "bf3d109ee96528cf4a763e030fe2a59f60bcd67605e6e4880fa9697ebf57c0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1520",
    "kind": "arxiv",
    "version": 1
  }
}