pith. sign in
Pith Number

pith:APQV4AG3

pith:2012:APQV4AG3MWZDFM4CKQ7EPLZ35Q
not attested not anchored not stored refs pending

Transitivity in polarization optics and the diagonalization of quadratic forms

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

arxiv:1201.4676 v1 · 2012-01-23 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{APQV4AG3MWZDFM4CKQ7EPLZ35Q}

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 2026-05-18T04:04:05.443583Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

03e15e00db65b232b382543e47af3bec1b09a235a9714c7d6640c47e04415ddf

Aliases

arxiv: 1201.4676 · arxiv_version: 1201.4676v1 · doi: 10.48550/arxiv.1201.4676 · pith_short_12: APQV4AG3MWZD · pith_short_16: APQV4AG3MWZDFM4C · pith_short_8: APQV4AG3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/APQV4AG3MWZDFM4CKQ7EPLZ35Q \
  | 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: 03e15e00db65b232b382543e47af3bec1b09a235a9714c7d6640c47e04415ddf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "142bc9ddf8d9a221bca9b30c97907ca53480ae65ab035227764d0041665f0ded",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-01-23T10:54:45Z",
    "title_canon_sha256": "c51a4960ae53479407316d03825b5ac80ece0a92263b89e21d00b68a018294fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4676",
    "kind": "arxiv",
    "version": 1
  }
}