Pith Number

pith:UIDNO5ZS

pith:2015:UIDNO5ZSQIBMNPPBIYVMCIS3RE

not attested not anchored not stored refs pending

A unified theory correcting Einstein-Laub electrodynamics solves dilemmas in the photon momenta and electromagnetic stress tensors

Cheng-Wei Qiu, Dongliang Gao, Manuel Nieto-Vesperinas, M. Q. Mehmood, M.R.C. Mahdy, Weiqiang Ding

arxiv:1509.06971 v1 · 2015-09-23 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIDNO5ZSQIBMNPPBIYVMCIS3RE}

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	2026-05-18T01:32:17.372020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a206d777328202c6bde1462ac1225b891bd557d055d32f1da0e4554515fb2227

Aliases

arxiv: 1509.06971 · arxiv_version: 1509.06971v1 · doi: 10.48550/arxiv.1509.06971 · pith_short_12: UIDNO5ZSQIBM · pith_short_16: UIDNO5ZSQIBMNPPB · pith_short_8: UIDNO5ZS

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/UIDNO5ZSQIBMNPPBIYVMCIS3RE \
  | 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: a206d777328202c6bde1462ac1225b891bd557d055d32f1da0e4554515fb2227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9888222a12fedb283a38540131aa519d6c2a42e54073ae234364d66a4b249bf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-09-23T13:39:09Z",
    "title_canon_sha256": "9e77a83b998ad052f540ab7985cab99ff1babe6cabf9a23c77124894a5c91fcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06971",
    "kind": "arxiv",
    "version": 1
  }
}