Pith Number

pith:TCCMDO67

pith:2021:TCCMDO67YUA6R4DFD34GKWCD3C

not attested not anchored not stored refs pending

The Complexity of Bipartite Gaussian Boson Sampling

Daniel Grier, Daniel J. Brod, Juan Miguel Arrazola, Marcos Benicio de Andrade Alonso, Nicol\'as Quesada

arxiv:2110.06964 v3 · 2021-10-13 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCCMDO67YUA6R4DFD34GKWCD3C}

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	2026-07-05T05:20:32.929374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9884c1bbdfc501e8f0651ef8655843d8b576f4975f331d1c971f8273410d4365

Aliases

arxiv: 2110.06964 · arxiv_version: 2110.06964v3 · doi: 10.48550/arxiv.2110.06964 · pith_short_12: TCCMDO67YUA6 · pith_short_16: TCCMDO67YUA6R4DF · pith_short_8: TCCMDO67

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/TCCMDO67YUA6R4DFD34GKWCD3C \
  | 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: 9884c1bbdfc501e8f0651ef8655843d8b576f4975f331d1c971f8273410d4365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cbf10d695f92c40119ec5f5923e1348770f6bf56426bd1e2f551a6d10bd47f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-10-13T18:08:37Z",
    "title_canon_sha256": "6f4d2a8c161a5556ea8b9782f7a740fefef4eff79ee2027fd03fb7f29c3a37a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06964",
    "kind": "arxiv",
    "version": 3
  }
}