Pith Number

pith:CLG2IY7P

pith:2012:CLG2IY7PHXDLCXFZAM65RDC5PW

not attested not anchored not stored refs pending

The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models

Anatolij K. Prykarpatsky, Denis Blackmore, Nikolai N. Bogolubov Jr.

arxiv:1204.5129 v5 · 2012-04-16 · 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{CLG2IY7PHXDLCXFZAM65RDC5PW}

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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	2026-05-18T01:28:21.777613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12cda463ef3dc6b15cb9033dd88c5d7dbf02a63f9c4f5a46441147ff0e2adeb9

Aliases

arxiv: 1204.5129 · arxiv_version: 1204.5129v5 · doi: 10.48550/arxiv.1204.5129 · pith_short_12: CLG2IY7PHXDL · pith_short_16: CLG2IY7PHXDLCXFZ · pith_short_8: CLG2IY7P

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/CLG2IY7PHXDLCXFZAM65RDC5PW \
  | 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: 12cda463ef3dc6b15cb9033dd88c5d7dbf02a63f9c4f5a46441147ff0e2adeb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d238ff5539cda8bd7bdfd5fcb0e0eab4fefae49524348e9e5b6d513fd666b48",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-16T05:28:53Z",
    "title_canon_sha256": "a894a3f1e7efcb61967ae94f88ed2745c57080ebcec31aba1e50670560134b89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5129",
    "kind": "arxiv",
    "version": 5
  }
}