Pith Number

pith:SMEAUWIT

pith:2012:SMEAUWITVUOS4P7DPZJJLK2ADH

not attested not anchored not stored refs pending

Classification of degenerate 4-dimensional matrices with semi-group structure and polarization optics

E.M. Ovsiyuk, V.M. Red'kov

arxiv:1201.6555 v1 · 2012-01-31 · 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{SMEAUWITVUOS4P7DPZJJLK2ADH}

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	2026-05-18T04:03:31.203890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93080a5913ad1d2e3fe37e5295ab4019de326478e5a7bd0cb6303d12a65d9071

Aliases

arxiv: 1201.6555 · arxiv_version: 1201.6555v1 · doi: 10.48550/arxiv.1201.6555 · pith_short_12: SMEAUWITVUOS · pith_short_16: SMEAUWITVUOS4P7D · pith_short_8: SMEAUWIT

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/SMEAUWITVUOS4P7DPZJJLK2ADH \
  | 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: 93080a5913ad1d2e3fe37e5295ab4019de326478e5a7bd0cb6303d12a65d9071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48445788c1d576d8878dc011d56d6f495f11e3bb738b36b93721c0a28584e147",
    "cross_cats_sorted": [
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-31T14:43:05Z",
    "title_canon_sha256": "9934e9e22de182a9b8a192cd3eef28c94422fb48ca9f5b4f27e3ceca16016cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6555",
    "kind": "arxiv",
    "version": 1
  }
}