Pith Number

pith:IMJDQPX4

pith:2013:IMJDQPX4PW4NKE43FW37K6U7DO

not attested not anchored not stored refs pending

Relative entropy is an exact measure of non-Gaussianity

Paulina Marian, Tudor A. Marian

arxiv:1308.2939 v1 · 2013-08-13 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMJDQPX4PW4NKE43FW37K6U7DO}

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	2026-05-18T03:15:58.156446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4312383efc7db8d5139b2db7f57a9f1b93bb01d29a64fb2d2bf1553588675d9d

Aliases

arxiv: 1308.2939 · arxiv_version: 1308.2939v1 · doi: 10.48550/arxiv.1308.2939 · pith_short_12: IMJDQPX4PW4N · pith_short_16: IMJDQPX4PW4NKE43 · pith_short_8: IMJDQPX4

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/IMJDQPX4PW4NKE43FW37K6U7DO \
  | 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: 4312383efc7db8d5139b2db7f57a9f1b93bb01d29a64fb2d2bf1553588675d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8171211320ed45fb1147a9d943b638eede1c3d2a7c38681f13e245a3dc634e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-13T18:50:06Z",
    "title_canon_sha256": "ca22c21dbf24f32b01152b4783eb30a22f189677abc56cde16d73747efbdd0ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2939",
    "kind": "arxiv",
    "version": 1
  }
}