Pith Number

pith:DGJZPYGN

pith:2022:DGJZPYGNECRO3HUORJJ5MPUGHP

not attested not anchored not stored refs pending

Sampling Equilibria: Fast No-Regret Learning in Structured Games

Daniel Beaglehole, Daniel Kane, Max Hopkins, Shachar Lovett, Sihan Liu

arxiv:2201.10758 v7 · 2022-01-26 · cs.GT · cs.DM · cs.DS · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGJZPYGNECRO3HUORJJ5MPUGHP}

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	2026-07-05T04:40:49.776149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

199397e0cd20a2ed9e8e8a53d63e863beebb4d07bec4f702901cbcd0117da9aa

Aliases

arxiv: 2201.10758 · arxiv_version: 2201.10758v7 · doi: 10.48550/arxiv.2201.10758 · pith_short_12: DGJZPYGNECRO · pith_short_16: DGJZPYGNECRO3HUO · pith_short_8: DGJZPYGN

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/DGJZPYGNECRO3HUORJJ5MPUGHP \
  | 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: 199397e0cd20a2ed9e8e8a53d63e863beebb4d07bec4f702901cbcd0117da9aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f07eaa01d49c67dc3cf4aeeb435c02f311b46e247895757f0ee49743079f75",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "cs.MA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2022-01-26T05:42:59Z",
    "title_canon_sha256": "680a7af4b1d4a0cb4865717a9f63c7b65d9c007029d0d8c486a4ec5b97213799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10758",
    "kind": "arxiv",
    "version": 7
  }
}