Pith Number

pith:ZK4HRDCH

pith:2011:ZK4HRDCHPRZMTCFQMONOKAHY74

not attested not anchored not stored refs pending

Particle in the Electromagnetic Wave with Cylindrical Symmetry, an Analog of the Volkov Problem

E. M. Ovsiyuk

arxiv:1111.7162 v1 · 2011-11-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK4HRDCHPRZMTCFQMONOKAHY74}

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	2026-05-18T04:07:18.648808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab8788c477c72c988b0639ae500f8ff06eefd453be4780811a44b750bc8009f

Aliases

arxiv: 1111.7162 · arxiv_version: 1111.7162v1 · doi: 10.48550/arxiv.1111.7162 · pith_short_12: ZK4HRDCHPRZM · pith_short_16: ZK4HRDCHPRZMTCFQ · pith_short_8: ZK4HRDCH

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/ZK4HRDCHPRZMTCFQMONOKAHY74 \
  | 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: cab8788c477c72c988b0639ae500f8ff06eefd453be4780811a44b750bc8009f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f67f37fc197f4828509fc3b89fa45d849563171d23e901fbdff0c6adf37579",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-30T13:58:28Z",
    "title_canon_sha256": "bb461527d351162b5fe745491c9b0b42d90e6c7a0c166476457ba69b94406dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7162",
    "kind": "arxiv",
    "version": 1
  }
}