Pith Number

pith:OPWJSOOY

pith:2026:OPWJSOOYJCYARVL2NL7VJWQGRH

not attested not anchored not stored refs pending

Quantum Circuit Complexity as a Measure of Particle Creation in Bouncing Cosmologies

Samak Boonpan

arxiv:2606.05235 v1 · 2026-06-03 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPWJSOOYJCYARVL2NL7VJWQGRH}

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	2026-06-05T00:13:49.609780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ec9939d848b008d57a6aff54da0689ed65ce9298a4dcc7fb6970818bcb4bb9

Aliases

arxiv: 2606.05235 · arxiv_version: 2606.05235v1 · doi: 10.48550/arxiv.2606.05235 · pith_short_12: OPWJSOOYJCYA · pith_short_16: OPWJSOOYJCYARVL2 · pith_short_8: OPWJSOOY

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/OPWJSOOYJCYARVL2NL7VJWQGRH \
  | 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: 73ec9939d848b008d57a6aff54da0689ed65ce9298a4dcc7fb6970818bcb4bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232826982e5f19b0bd6bacb39527b25760374f056380c05672ed73d9e3d9695e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-03T01:42:05Z",
    "title_canon_sha256": "dbcbb2bf78cac6da0aeff530c5d4ab105a2176fb8ae55b61ba3ddf3d9887b831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05235",
    "kind": "arxiv",
    "version": 1
  }
}