Pith Number

pith:TQ6XDISD

pith:2020:TQ6XDISDPGRZKSFXZOVPDEXZVY

not attested not anchored not stored refs pending

Sublinear classical and quantum algorithms for general matrix games

Chunhao Wang, Shouvanik Chakrabarti, Tongyang Li, Xiaodi Wu

arxiv:2012.06519 v1 · 2020-12-11 · quant-ph · cs.DS · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQ6XDISDPGRZKSFXZOVPDEXZVY}

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	2026-07-05T01:58:52.370472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c3d71a24379a39548b7cbaaf192f9ae0fc741cf619d39b53e3b206579eaa108

Aliases

arxiv: 2012.06519 · arxiv_version: 2012.06519v1 · doi: 10.48550/arxiv.2012.06519 · pith_short_12: TQ6XDISDPGRZ · pith_short_16: TQ6XDISDPGRZKSFX · pith_short_8: TQ6XDISD

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/TQ6XDISDPGRZKSFXZOVPDEXZVY \
  | 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: 9c3d71a24379a39548b7cbaaf192f9ae0fc741cf619d39b53e3b206579eaa108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b792a915cf8dff905f25fffb689a0056d788ee444acf6ee9e33649b2a4e4620",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-12-11T17:36:33Z",
    "title_canon_sha256": "7c3748233e47a991d768818bdc78c0b3b1aa97b890a99b3e08c35f4715594ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06519",
    "kind": "arxiv",
    "version": 1
  }
}