Pith Number

pith:UA6K4JFG

pith:2015:UA6K4JFGPXCTKJU4XPOM5JPKQE

not attested not anchored not stored refs pending

Reduced form of a Mueller matrix

Ignacio San Jose, Jose J. Gil

arxiv:1509.06702 v3 · 2015-09-22 · 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{UA6K4JFGPXCTKJU4XPOM5JPKQE}

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	2026-05-18T01:19:11.716525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03cae24a67dc535269cbbdccea5ea8124c6ee8a85d43065d5f8a966f4b37d22

Aliases

arxiv: 1509.06702 · arxiv_version: 1509.06702v3 · doi: 10.48550/arxiv.1509.06702 · pith_short_12: UA6K4JFGPXCT · pith_short_16: UA6K4JFGPXCTKJU4 · pith_short_8: UA6K4JFG

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/UA6K4JFGPXCTKJU4XPOM5JPKQE \
  | 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: a03cae24a67dc535269cbbdccea5ea8124c6ee8a85d43065d5f8a966f4b37d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd767ce81d59256696bb8206102b042d5130a65c17252f8b6d720396ee719466",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-09-22T17:57:42Z",
    "title_canon_sha256": "20a611d8e98748e7139a5dc33129c5a26b301850158574f31ffa33ea3bfacc01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06702",
    "kind": "arxiv",
    "version": 3
  }
}