Pith Number

pith:PM6V4U2K

pith:2026:PM6V4U2KSUEHP5FYJLJVF2KKG4

not attested not anchored not stored refs pending

Bayesian Networks of Density Operators

Piotr Zwiernik, Steffen Lauritzen

arxiv:2607.27876 v1 · 2026-07-30 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PM6V4U2KSUEHP5FYJLJVF2KKG4}

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	2026-07-31T01:34:32.358127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

7b3d5e534a950877f4b84ad352e94a3718f3e4158c0ffdb7e706bd61c49b2f30

Aliases

arxiv: 2607.27876 · arxiv_version: 2607.27876v1 · doi: 10.48550/arxiv.2607.27876 · pith_short_12: PM6V4U2KSUEH · pith_short_16: PM6V4U2KSUEHP5FY · pith_short_8: PM6V4U2K

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/PM6V4U2KSUEHP5FYJLJVF2KKG4 \
  | 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: 7b3d5e534a950877f4b84ad352e94a3718f3e4158c0ffdb7e706bd61c49b2f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "368cb40bafe87fdbb53ce13fa08863aeab6020d5906c12107781ae27e95a0c2c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-30T08:51:05Z",
    "title_canon_sha256": "aab9d18c14d92397cabf92967e10cf7c8d7ad7263589939a9273257f4d02ed50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27876",
    "kind": "arxiv",
    "version": 1
  }
}