Pith Number

pith:SWQNAD45

pith:2021:SWQNAD45BJGITUTTQKX35E7EXP

not attested not anchored not stored refs pending

Dual gauge concepts in electrodynamics, and new limitations on gauge invariance

H. R. Reiss

arxiv:2106.10226 v5 · 2021-06-05 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWQNAD45BJGITUTTQKX35E7EXP}

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	2026-07-05T03:54:21.525182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95a0d00f9d0a4c89d27382afbe93e4bbdd8763116b48b85a1db8db7e25ee3cb0

Aliases

arxiv: 2106.10226 · arxiv_version: 2106.10226v5 · doi: 10.48550/arxiv.2106.10226 · pith_short_12: SWQNAD45BJGI · pith_short_16: SWQNAD45BJGITUTT · pith_short_8: SWQNAD45

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/SWQNAD45BJGITUTTQKX35E7EXP \
  | 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: 95a0d00f9d0a4c89d27382afbe93e4bbdd8763116b48b85a1db8db7e25ee3cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36fe6f550da41cbd64e3bb482b9d3a94159f62ac2d66e5d6f71df85c69fbde7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2021-06-05T21:41:04Z",
    "title_canon_sha256": "18fa3051bd4bdada163c16b4e72aba3bf992456fc45f5a08c562e31ff2e233fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10226",
    "kind": "arxiv",
    "version": 5
  }
}