Pith Number

pith:OPUJWPBX

pith:2015:OPUJWPBXJ4SY4CNGKUXBSYSTU6

not attested not anchored not stored refs pending

Maxwell's Optics Symplectic Hamiltonian

A. V. Korolkova, D. S. Kulyabov, L. A. Sevastyanov

arxiv:1508.03811 v1 · 2015-08-16 · 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{OPUJWPBXJ4SY4CNGKUXBSYSTU6}

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	2026-05-18T01:35:15.181914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e89b3c374f258e09a6552e196253a7a381519201c96ef59794256b44227047

Aliases

arxiv: 1508.03811 · arxiv_version: 1508.03811v1 · doi: 10.48550/arxiv.1508.03811 · pith_short_12: OPUJWPBXJ4SY · pith_short_16: OPUJWPBXJ4SY4CNG · pith_short_8: OPUJWPBX

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/OPUJWPBXJ4SY4CNGKUXBSYSTU6 \
  | 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: 73e89b3c374f258e09a6552e196253a7a381519201c96ef59794256b44227047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf634722031cf4f6ecedb954fea9eabf473808754efcde7710c75128f79cf4f",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-16T11:24:21Z",
    "title_canon_sha256": "ea23e8bfbffda4a04b7a7d61a5a29dd84f78ce8d2dd2012c311ffdffe2bb9c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03811",
    "kind": "arxiv",
    "version": 1
  }
}