Pith Number

pith:BPNWSW2K

pith:2013:BPNWSW2KKP6AXIDH62AZBUDUHV

not attested not anchored not stored refs pending

On the Problem of Electromagnetic-Field Quantization

Alex Mahalov, Christian Krattenthaler, Sergei K. Suslov, Sergey I. Kryuchkov

arxiv:1301.7328 v2 · 2013-01-30 · 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{BPNWSW2KKP6AXIDH62AZBUDUHV}

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	2026-05-18T01:51:56.980602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bdb695b4a53fc0ba067f68190d0743d445cfee2a8f7c5afc1a2c854ad73aae6

Aliases

arxiv: 1301.7328 · arxiv_version: 1301.7328v2 · doi: 10.48550/arxiv.1301.7328 · pith_short_12: BPNWSW2KKP6A · pith_short_16: BPNWSW2KKP6AXIDH · pith_short_8: BPNWSW2K

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/BPNWSW2KKP6AXIDH62AZBUDUHV \
  | 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: 0bdb695b4a53fc0ba067f68190d0743d445cfee2a8f7c5afc1a2c854ad73aae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e708547c5fa94a8fac69e94130f2b9d17621c48b1652be7aa9c5b11af7a6d69d",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-30T19:12:10Z",
    "title_canon_sha256": "16aea3f49e254ec20242f19fec11174f36a4375ec7087f487afaf03d8fbf40ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7328",
    "kind": "arxiv",
    "version": 2
  }
}