Pith Number

pith:HAUPHGOS

pith:2022:HAUPHGOSYJJ6C46OSNHU7POARU

not attested not anchored not stored refs pending

Matrix Multiplicative Weights Updates in Quantum Zero-Sum Games: Conservation Laws & Recurrence

Georgios Piliouras, Rahul Jain, Ryann Sim

arxiv:2211.01681 v2 · 2022-11-03 · cs.GT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAUPHGOSYJJ6C46OSNHU7POARU}

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	2026-07-05T06:04:52.358822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3828f399d2c253e173ce934f4fbdc08d03c6d47b5d063a6866af697149405709

Aliases

arxiv: 2211.01681 · arxiv_version: 2211.01681v2 · doi: 10.48550/arxiv.2211.01681 · pith_short_12: HAUPHGOSYJJ6 · pith_short_16: HAUPHGOSYJJ6C46O · pith_short_8: HAUPHGOS

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/HAUPHGOSYJJ6C46OSNHU7POARU \
  | 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: 3828f399d2c253e173ce934f4fbdc08d03c6d47b5d063a6866af697149405709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef94ff2486988b2d1e4fd322bebc0cd9398fe6be26dc4a1fcb77094f46636a6",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-11-03T09:52:33Z",
    "title_canon_sha256": "406eb8663c6f6f861da5290748ce91998e549e00d21e12380ad71348988ace88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.01681",
    "kind": "arxiv",
    "version": 2
  }
}