Pith Number

pith:HPKTZX3Q

pith:2025:HPKTZX3QJUCEKGWC2QA7IEL5GQ

not attested not anchored not stored refs pending

Heisenberg picture tensor network formalism for optical circuits

Dario Cilluffo, Martin B. Plenio, Matthias Kost, Nicola Lorenzoni

arxiv:2502.01737 v2 · 2025-02-03 · 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{HPKTZX3QJUCEKGWC2QA7IEL5GQ}

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	2026-05-20T00:00:17.673685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd53cdf704d04451ac2d401f4117d34324d0e09b3b310baf1df574589c76700

Aliases

arxiv: 2502.01737 · arxiv_version: 2502.01737v2 · doi: 10.48550/arxiv.2502.01737 · pith_short_12: HPKTZX3QJUCE · pith_short_16: HPKTZX3QJUCEKGWC · pith_short_8: HPKTZX3Q

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/HPKTZX3QJUCEKGWC2QA7IEL5GQ \
  | 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: 3bd53cdf704d04451ac2d401f4117d34324d0e09b3b310baf1df574589c76700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bef4f6aab5c5d6d532c1e040fb4e333dcd961bcc5b77786a4b5d69149251c21e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-02-03T19:00:02Z",
    "title_canon_sha256": "e5a56553344eb4a2b30048d86ee42b45067cb6cd789a85548dc3f9d301c6374c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01737",
    "kind": "arxiv",
    "version": 2
  }
}