Pith Number

pith:DNC4CDCA

pith:2015:DNC4CDCAKBU5ZME65ZR72LVUVF

not attested not anchored not stored refs pending

Invariant quantities of a Mueller matrix under rotation and retarder transformations

Jose J. Gil

arxiv:1509.03441 v2 · 2015-09-11 · 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{DNC4CDCAKBU5ZME65ZR72LVUVF}

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	2026-05-18T01:24:18.298193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b45c10c405069dcb09eee63fd2eb4a97059d46facc96353e4e4b9c02bca34f5

Aliases

arxiv: 1509.03441 · arxiv_version: 1509.03441v2 · doi: 10.48550/arxiv.1509.03441 · pith_short_12: DNC4CDCAKBU5 · pith_short_16: DNC4CDCAKBU5ZME6 · pith_short_8: DNC4CDCA

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/DNC4CDCAKBU5ZME65ZR72LVUVF \
  | 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: 1b45c10c405069dcb09eee63fd2eb4a97059d46facc96353e4e4b9c02bca34f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc55f021681bf974dce1493a8ac46e85348095245dbf04fd6c4175cd44bd6c67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-09-11T09:53:11Z",
    "title_canon_sha256": "08c5f4ef999767168f4144815154aa0c0fdef7d70fbeef66b74cdb71e9b6daf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03441",
    "kind": "arxiv",
    "version": 2
  }
}