Pith Number

pith:YKDE2ZFC

pith:2026:YKDE2ZFC3MCSG2EJ4CVTFH4WHQ

not attested not anchored not stored refs pending

Operator spreading in random circuits with orthogonal or symplectic symmetry

Piet W. Brouwer, Zhiyang Tan

arxiv:2606.03956 v1 · 2026-06-02 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKDE2ZFC3MCSG2EJ4CVTFH4WHQ}

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	2026-06-03T02:06:07.926405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2864d64a2db05236889e0ab329f963c08db56adaebf5fe1c6b2e33b9a3e254e

Aliases

arxiv: 2606.03956 · arxiv_version: 2606.03956v1 · doi: 10.48550/arxiv.2606.03956 · pith_short_12: YKDE2ZFC3MCS · pith_short_16: YKDE2ZFC3MCSG2EJ · pith_short_8: YKDE2ZFC

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/YKDE2ZFC3MCSG2EJ4CVTFH4WHQ \
  | 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: c2864d64a2db05236889e0ab329f963c08db56adaebf5fe1c6b2e33b9a3e254e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6037cd3e3c8e57f50b01a253215a0c95a7b02dbb9e598f2bd1b72a5bbdea629",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-02T17:45:55Z",
    "title_canon_sha256": "4cb030e1b57f9dfc40cc89e8b54db68ad47e14d3e535b9afd93f30dc44854228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03956",
    "kind": "arxiv",
    "version": 1
  }
}