Pith Number

pith:VB4IUX5X

pith:2018:VB4IUX5X44DEKMCQY4UGUDJF5Z

not attested not anchored not stored refs pending

Parametric randomization, complex symplectic factorizations, and quadratic-exponential functionals for Gaussian quantum states

Ian R. Petersen, Igor G. Vladimirov, Matthew R. James

arxiv:1809.06842 v1 · 2018-09-18 · quant-ph · cs.SY · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VB4IUX5X44DEKMCQY4UGUDJF5Z}

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	2026-05-18T00:05:24.543774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8788a5fb7e706453050c7286a0d25ee54d13510acb706635269e2f5db0f6f3b

Aliases

arxiv: 1809.06842 · arxiv_version: 1809.06842v1 · doi: 10.48550/arxiv.1809.06842 · pith_short_12: VB4IUX5X44DE · pith_short_16: VB4IUX5X44DEKMCQ · pith_short_8: VB4IUX5X

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/VB4IUX5X44DEKMCQY4UGUDJF5Z \
  | 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: a8788a5fb7e706453050c7286a0d25ee54d13510acb706635269e2f5db0f6f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ad129ebc7b49c1477cdd1e0d71728d2804d3f544182a7bc3ed1752fc45bc2a",
    "cross_cats_sorted": [
      "cs.SY",
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-09-18T17:50:02Z",
    "title_canon_sha256": "b910ebfdb5460e288a1ce45cb13e67fe4e1f7e714e85e745ee0b5fa59260b058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06842",
    "kind": "arxiv",
    "version": 1
  }
}