Pith Number

pith:QLD6LGOM

pith:2016:QLD6LGOMBZS7POANT2SYVOXLPK

not attested not anchored not stored refs pending

The Computational Complexity of Ball Permutations

Adam Bouland, Greg Kuperberg, Saeed Mehraban, Scott Aaronson

arxiv:1610.06646 v1 · 2016-10-21 · 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{QLD6LGOMBZS7POANT2SYVOXLPK}

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	2026-05-18T01:01:37.112088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c7e599cc0e65f7b80d9ea58abaeb7ab9e954efef6854189dc5bec0dab45b35

Aliases

arxiv: 1610.06646 · arxiv_version: 1610.06646v1 · doi: 10.48550/arxiv.1610.06646 · pith_short_12: QLD6LGOMBZS7 · pith_short_16: QLD6LGOMBZS7POAN · pith_short_8: QLD6LGOM

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/QLD6LGOMBZS7POANT2SYVOXLPK \
  | 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: 82c7e599cc0e65f7b80d9ea58abaeb7ab9e954efef6854189dc5bec0dab45b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dbfc391c6ed8a78c4638b398ea606c507b598b56fa240e16e0a2654164a6e7f",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-10-21T02:06:43Z",
    "title_canon_sha256": "6194d029d175eb095132530859b37fb9c336c1c2f2c8bb1ecd3ccb7da0adbe7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06646",
    "kind": "arxiv",
    "version": 1
  }
}