Pith Number

pith:TM7YJURC

pith:2021:TM7YJURCS7MNY7OIZY4XD2OWW3

not attested not anchored not stored refs pending

Tight Bounds on the Spooky Pebble Game: Recycling Qubits with Measurements

David Soloveichik, Jonathan Sadun, Niels Kornerup

arxiv:2110.08973 v3 · 2021-10-18 · 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{TM7YJURCS7MNY7OIZY4XD2OWW3}

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	2026-07-05T10:16:04.605601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3f84d22297d8dc7dc8ce3971e9d6b6cdf4b9402287e013687384c741a841ad

Aliases

arxiv: 2110.08973 · arxiv_version: 2110.08973v3 · doi: 10.48550/arxiv.2110.08973 · pith_short_12: TM7YJURCS7MN · pith_short_16: TM7YJURCS7MNY7OI · pith_short_8: TM7YJURC

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/TM7YJURCS7MNY7OIZY4XD2OWW3 \
  | 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: 9b3f84d22297d8dc7dc8ce3971e9d6b6cdf4b9402287e013687384c741a841ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61c8ac1fb872b98075e6832a0a6e596524cdc119c5745ed29585116dce39b7e",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-10-18T01:57:46Z",
    "title_canon_sha256": "9dc0648a35633ff17b000ddcf8c94f622583868266c6eb105eea596cdd17fbb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.08973",
    "kind": "arxiv",
    "version": 3
  }
}