Pith Number

pith:4WCFR6GK

pith:2026:4WCFR6GKFLRENWRE3MNQF4P2S5

not attested not anchored not stored refs pending

Uncertainty relations in classical and quantum theories of electromagnetism

Iwo Bialynicki-Birula, Zofia Bialynicka-Birula

arxiv:2605.28906 v1 · 2026-05-27 · quant-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{4WCFR6GKFLRENWRE3MNQF4P2S5}

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	2026-05-29T00:04:16.034537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58458f8ca2ae246da24db1b02f1fa974c4d4f7586cd20da70c79bf1870b8511

Aliases

arxiv: 2605.28906 · arxiv_version: 2605.28906v1 · doi: 10.48550/arxiv.2605.28906 · pith_short_12: 4WCFR6GKFLRE · pith_short_16: 4WCFR6GKFLRENWRE · pith_short_8: 4WCFR6GK

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/4WCFR6GKFLRENWRE3MNQF4P2S5 \
  | 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: e58458f8ca2ae246da24db1b02f1fa974c4d4f7586cd20da70c79bf1870b8511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb0453bc8fab6510a71cd341d1def77a3962c88142109a9e23205970d1d1d51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-27T16:48:40Z",
    "title_canon_sha256": "f44956f6dd36328ae0c3eea3b42f2b59ab5116becde4a98454535257a3e9310e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28906",
    "kind": "arxiv",
    "version": 1
  }
}