Pith Number

pith:XVGDC7MP

pith:2026:XVGDC7MPPIKIUNM5RTV7YAM5C4

not attested not anchored not stored refs pending

The Periodic Table and the Group SO(4,4): II. Double SO(4,2)-tower

V.V. Varlamov

arxiv:2607.08105 v1 · 2026-07-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVGDC7MPPIKIUNM5RTV7YAM5C4}

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	2026-07-10T01:19:26.133109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd4c317d8f7a148a359d8cebfc019d1703be8910b4f20afca6cc513daa8d9fe6

Aliases

arxiv: 2607.08105 · arxiv_version: 2607.08105v1 · doi: 10.48550/arxiv.2607.08105 · pith_short_12: XVGDC7MPPIKI · pith_short_16: XVGDC7MPPIKIUNM5 · pith_short_8: XVGDC7MP

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/XVGDC7MPPIKIUNM5RTV7YAM5C4 \
  | 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: bd4c317d8f7a148a359d8cebfc019d1703be8910b4f20afca6cc513daa8d9fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23bb9ba241c7255b2283006e7bfa8b96efe185c7ea6b7826a8dab51ebde1cf7a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-09T04:45:57Z",
    "title_canon_sha256": "79496c38026ddaf377b3359eb07e02ac22eb0ce7836b2f2fc10dbd1997e25b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08105",
    "kind": "arxiv",
    "version": 1
  }
}