Pith Number

pith:5LHI4AIW

pith:2025:5LHI4AIWQHDTFQ7LLXXADAA5P6

not attested not anchored not stored refs pending

Embeddings of the Standard Model in $E_8$

Robert A. Wilson

arxiv:2507.16517 v2 · 2025-07-22 · hep-ph · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LHI4AIWQHDTFQ7LLXXADAA5P6}

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	2026-07-05T11:44:09.783850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eace8e011681c732c3eb5dee01801d7f8ad98b11080d63ea1cb305d5c27b739c

Aliases

arxiv: 2507.16517 · arxiv_version: 2507.16517v2 · doi: 10.48550/arxiv.2507.16517 · pith_short_12: 5LHI4AIWQHDT · pith_short_16: 5LHI4AIWQHDTFQ7L · pith_short_8: 5LHI4AIW

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/5LHI4AIWQHDTFQ7LLXXADAA5P6 \
  | 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: eace8e011681c732c3eb5dee01801d7f8ad98b11080d63ea1cb305d5c27b739c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7215769ad76dc7912f526c7c713668d49f3f0f3062132963a1ca413934c6e8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-07-22T12:26:27Z",
    "title_canon_sha256": "f13de92ed94bb95b1e9fea362caa12dd7764a1ed3080fefa189338f6e52f0715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16517",
    "kind": "arxiv",
    "version": 2
  }
}