Pith Number

pith:JK4C4FDA

pith:2019:JK4C4FDAWJOQJHE7TMVE5ZOGSJ

not attested not anchored not stored refs pending

Unitary circuits of finite depth and infinite width from quantum channels

Austen Lamacraft, Sarang Gopalakrishnan

arxiv:1903.11611 v1 · 2019-03-27 · quant-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK4C4FDAWJOQJHE7TMVE5ZOGSJ}

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.

Cited by

1 paper in Pith

Exact Entanglement Dynamics Beyond Nearest-Neighbor Dual-Unitary Floquet Systems

Receipt and verification

First computed	2026-07-05T00:01:46.068530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab82e1460b25d049c9f9b2a4ee5c692473f1b5553c51577e61e98d6e4f2efb3

Aliases

arxiv: 1903.11611 · arxiv_version: 1903.11611v1 · doi: 10.48550/arxiv.1903.11611 · pith_short_12: JK4C4FDAWJOQ · pith_short_16: JK4C4FDAWJOQJHE7 · pith_short_8: JK4C4FDA

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/JK4C4FDAWJOQJHE7TMVE5ZOGSJ \
  | 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: 4ab82e1460b25d049c9f9b2a4ee5c692473f1b5553c51577e61e98d6e4f2efb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ae7eeabfb311f1290924180b533b4c37d52533d95bd7b77dc7d428e7dc051e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-03-27T18:00:02Z",
    "title_canon_sha256": "9c2aac3ca2ef4163774c71e8fc9ff9313e23801340dea5d1c74f95858ec8d6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11611",
    "kind": "arxiv",
    "version": 1
  }
}