Pith Number

pith:7A3MSUCD

pith:2026:7A3MSUCD4PC3ND7SDN6FAO4DUE

not attested not anchored not stored refs pending

Outcomes of Grand Unified Symmetry Breaking

Anja Wachowitz, Harish Hemming, Tanmay Vachaspati

arxiv:2607.27158 v1 · 2026-07-29 · hep-ph · astro-ph.CO · 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{7A3MSUCD4PC3ND7SDN6FAO4DUE}

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	2026-07-30T01:23:54.650886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f836c95043e3c5b68ff21b7c503b83a104e9444621d860faf127196dec7f8d5b

Aliases

arxiv: 2607.27158 · arxiv_version: 2607.27158v1 · doi: 10.48550/arxiv.2607.27158 · pith_short_12: 7A3MSUCD4PC3 · pith_short_16: 7A3MSUCD4PC3ND7S · pith_short_8: 7A3MSUCD

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/7A3MSUCD4PC3ND7SDN6FAO4DUE \
  | 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: f836c95043e3c5b68ff21b7c503b83a104e9444621d860faf127196dec7f8d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f25fb1603c82706ed942fd9611788fd24de83f9217011041f5288ed85665d64",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-29T17:35:53Z",
    "title_canon_sha256": "2c5ad9e1ab785a2b070fca823cc3a56ae2aff586eaa24bb27ceca0e2198d1a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27158",
    "kind": "arxiv",
    "version": 1
  }
}