Pith Number

pith:F4RZCEXW

pith:2016:F4RZCEXWNQ6JYTRSDFWSBVZJKU

not attested not anchored not stored refs pending

Invariant quantities of a nondepolarizing Mueller matrix

Ignacio San Jose, Jose J. Gil

arxiv:1604.01333 v3 · 2016-04-05 · 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{F4RZCEXWNQ6JYTRSDFWSBVZJKU}

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	2026-05-18T01:12:40.244930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f239112f66c3c9c4e32196d20d7295539e1627b85f9e7b07ef6f2f965094ba7

Aliases

arxiv: 1604.01333 · arxiv_version: 1604.01333v3 · doi: 10.48550/arxiv.1604.01333 · pith_short_12: F4RZCEXWNQ6J · pith_short_16: F4RZCEXWNQ6JYTRS · pith_short_8: F4RZCEXW

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/F4RZCEXWNQ6JYTRSDFWSBVZJKU \
  | 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: 2f239112f66c3c9c4e32196d20d7295539e1627b85f9e7b07ef6f2f965094ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a79b927c1f5bd39d07d0aafb7bf22bd40b5f42915540f729fb34cc60868f5d13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-04-05T17:07:48Z",
    "title_canon_sha256": "41d523af1e92b5de17ff4345ea991e05e1e75eb8608abc644ef272b218dfdca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01333",
    "kind": "arxiv",
    "version": 3
  }
}