Pith Number

pith:OMPM7MJV

pith:2010:OMPM7MJV5ORETYBYDVBGI3QGQM

not attested not anchored not stored refs pending

Quantization of the free electromagnetic field implies quantization of its angular momentum

A. M. Stewart

arxiv:1011.4131 v4 · 2010-11-18 · math-ph · math.MP · 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{OMPM7MJV5ORETYBYDVBGI3QGQM}

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	2026-05-18T02:30:08.958449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

731ecfb135eba249e0381d42646e06833588b0fd7b11c08578850af53198b11a

Aliases

arxiv: 1011.4131 · arxiv_version: 1011.4131v4 · doi: 10.48550/arxiv.1011.4131 · pith_short_12: OMPM7MJV5ORE · pith_short_16: OMPM7MJV5ORETYBY · pith_short_8: OMPM7MJV

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/OMPM7MJV5ORETYBYDVBGI3QGQM \
  | 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: 731ecfb135eba249e0381d42646e06833588b0fd7b11c08578850af53198b11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f8748601a0582ecb89064ca231b78f37b951033e71f7226f9d85cd461943dd",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-18T04:04:36Z",
    "title_canon_sha256": "114bbfd4af42565224420133cb6e1f1af426eda94ecd90724d3db677a0256480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4131",
    "kind": "arxiv",
    "version": 4
  }
}