Pith Number

pith:U2742SWK

pith:2013:U2742SWKXYSZAGXWDXZDE5AWVR

not attested not anchored not stored refs pending

The Jones vector as a spinor and its representation on the Poincar\'e sphere

G.F. Torres del Castillo, I. Rubalcava-Garcia

arxiv:1303.4496 v1 · 2013-03-19 · 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{U2742SWKXYSZAGXWDXZDE5AWVR}

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	2026-05-18T03:30:27.032887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6bfcd4acabe25901af61df2327416ac6bef8355a55603d544f0413c8c0ab6e4

Aliases

arxiv: 1303.4496 · arxiv_version: 1303.4496v1 · doi: 10.48550/arxiv.1303.4496 · pith_short_12: U2742SWKXYSZ · pith_short_16: U2742SWKXYSZAGXW · pith_short_8: U2742SWK

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/U2742SWKXYSZAGXWDXZDE5AWVR \
  | 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: a6bfcd4acabe25901af61df2327416ac6bef8355a55603d544f0413c8c0ab6e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef6d4343927ae81f90e50cc7a3a6843635e9e48cc9e14879ca7146a8b2ed066",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-19T06:55:26Z",
    "title_canon_sha256": "cd49cc5a0d2f80e0738dd21ef451864d93370520c0733e71d54d92d768f2cf1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4496",
    "kind": "arxiv",
    "version": 1
  }
}