Pith Number

pith:7ZPSTGTJ

pith:2016:7ZPSTGTJI2CGSGOGBT5TIK3PEY

not attested not anchored not stored refs pending

Minimizing Regret on Reflexive Banach Spaces and Learning Nash Equilibria in Continuous Zero-Sum Games

Alexandre Bayen, Claire Tomlin, Maximilian Balandat, Walid Krichene

arxiv:1606.01261 v1 · 2016-06-03 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZPSTGTJI2CGSGOGBT5TIK3PEY}

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	2026-05-18T01:12:54.485739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe5f299a6946846919c60cfb342b6f26030b055bfa3a1f351e4cfb00f180fb6e

Aliases

arxiv: 1606.01261 · arxiv_version: 1606.01261v1 · doi: 10.48550/arxiv.1606.01261 · pith_short_12: 7ZPSTGTJI2CG · pith_short_16: 7ZPSTGTJI2CGSGOG · pith_short_8: 7ZPSTGTJ

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/7ZPSTGTJI2CGSGOGBT5TIK3PEY \
  | 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: fe5f299a6946846919c60cfb342b6f26030b055bfa3a1f351e4cfb00f180fb6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a0732971771d1f25343818b0f275d8dc97274e359b80d55acefb421e0df62bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-06-03T20:07:41Z",
    "title_canon_sha256": "426ba8cf9ec75d3be86c261e3ba04c9d7814403570d86e8f48fa7c3ec2cdb7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01261",
    "kind": "arxiv",
    "version": 1
  }
}