Pith Number

pith:AXULFGUZ

pith:2026:AXULFGUZ3GDI56FOHP3EKXQ5OQ

not attested not anchored not stored refs pending

Left-right symmetry breaking in $E_6^L\times E_6^R$ occurs only in spacetime -- with possible implications for strong $CP$

Tejinder P. Singh

arxiv:2607.04132 v1 · 2026-07-05 · hep-ph · 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{AXULFGUZ3GDI56FOHP3EKXQ5OQ}

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	2026-07-07T02:18:58.987472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e8b29a99d9868ef8ae3bf6455e1d741e839821fce85e543348592041e780eb

Aliases

arxiv: 2607.04132 · arxiv_version: 2607.04132v1 · doi: 10.48550/arxiv.2607.04132 · pith_short_12: AXULFGUZ3GDI · pith_short_16: AXULFGUZ3GDI56FO · pith_short_8: AXULFGUZ

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/AXULFGUZ3GDI56FOHP3EKXQ5OQ \
  | 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: 05e8b29a99d9868ef8ae3bf6455e1d741e839821fce85e543348592041e780eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a59313460b109de8f7b2feef766cbd668cd6c26c4a2d0f9e32025e1c6c9ec2b2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-05T06:18:51Z",
    "title_canon_sha256": "9ab722ef6d2e7f3d2f988e278abffdf1a7c7facd9c125901fc62682e034e8481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04132",
    "kind": "arxiv",
    "version": 1
  }
}