Pith Number

pith:GGROESJW

pith:2020:GGROESJWAEDKJAB477CFEEELV3

not attested not anchored not stored refs pending

Solving imperfect-information games via exponential counterfactual regret minimization

Fengwei Jia, Huale Li, Jiajia Zhang, Shuhan Qi, Xuan Wang, Yang Liu, Yulin Wu

arxiv:2008.02679 v2 · 2020-08-06 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGROESJWAEDKJAB477CFEEELV3}

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	2026-07-05T01:56:55.696586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a2e249360106a4803cffc452108baef800d7d004a3b860566d9a5e496be30e

Aliases

arxiv: 2008.02679 · arxiv_version: 2008.02679v2 · doi: 10.48550/arxiv.2008.02679 · pith_short_12: GGROESJWAEDK · pith_short_16: GGROESJWAEDKJAB4 · pith_short_8: GGROESJW

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/GGROESJWAEDKJAB477CFEEELV3 \
  | 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: 31a2e249360106a4803cffc452108baef800d7d004a3b860566d9a5e496be30e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0eefea8bd094ac1551704843e52a99e33c2f36909447acd7b028364f0aa0fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2020-08-06T14:21:26Z",
    "title_canon_sha256": "bc0c4bd2daa2daaccebec0701ad9a5ae9df90a9b8802736270ef5ae79ff0bcd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.02679",
    "kind": "arxiv",
    "version": 2
  }
}