Pith Number

pith:WKGKZKOQ

pith:2019:WKGKZKOQ5LD45J4OBM7GRYHCXH

not attested not anchored not stored refs pending

Two theorems on the outer product of input and output Stokes vectors for deterministic optical systems

E. Kuntman, M.A. Kuntman

arxiv:1907.00580 v1 · 2019-07-01 · 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{WKGKZKOQ5LD45J4OBM7GRYHCXH}

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	2026-05-17T23:41:51.144122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28caca9d0eac7cea78e0b3e68e0e2b9cbc0638ddbad11fa9d501db6645809ff

Aliases

arxiv: 1907.00580 · arxiv_version: 1907.00580v1 · doi: 10.48550/arxiv.1907.00580 · pith_short_12: WKGKZKOQ5LD4 · pith_short_16: WKGKZKOQ5LD45J4O · pith_short_8: WKGKZKOQ

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/WKGKZKOQ5LD45J4OBM7GRYHCXH \
  | 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: b28caca9d0eac7cea78e0b3e68e0e2b9cbc0638ddbad11fa9d501db6645809ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab562245c0de4e73f3c920ab0cfbefd0692ac2f64714eafa5865e902e66f557a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-07-01T07:31:36Z",
    "title_canon_sha256": "8ddb999f2f18a42ed76dd24097c9cee442867df2c342ea28d8fcc07f8f748af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00580",
    "kind": "arxiv",
    "version": 1
  }
}