Pith Number

pith:OGATRDT7

pith:2026:OGATRDT7D4F3SJMY63CHQUZP3U

not attested not anchored not stored refs pending

Stueckelberg Gauge Invariant Formulation of MOG

John W. Moffat

arxiv:2606.26427 v1 · 2026-06-24 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGATRDT7D4F3SJMY63CHQUZP3U}

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	2026-06-26T00:15:40.621823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7181388e7f1f0bb92598f6c478532fdd3113ad8becc2f1aa0e7da85bc48b6f33

Aliases

arxiv: 2606.26427 · arxiv_version: 2606.26427v1 · doi: 10.48550/arxiv.2606.26427 · pith_short_12: OGATRDT7D4F3 · pith_short_16: OGATRDT7D4F3SJMY · pith_short_8: OGATRDT7

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/OGATRDT7D4F3SJMY63CHQUZP3U \
  | 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: 7181388e7f1f0bb92598f6c478532fdd3113ad8becc2f1aa0e7da85bc48b6f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5725d87b4bc615f025755985a2e79e425eae4c9489878c9b1f54d97528c9403",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-24T22:38:21Z",
    "title_canon_sha256": "781464339595faa416ae60e483ba3e2f1ac38dddae1bea0ab78744bd77eafb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26427",
    "kind": "arxiv",
    "version": 1
  }
}