Pith Number

pith:SX3P6AYM

pith:2026:SX3P6AYMG5LZR45EQPGVDLRJE2

not attested not anchored not stored refs pending

Do Not Discretize, Optimize: Almost Greedy Fictitious Play

Christodoulos Santorinaios, Evangelos Markakis

arxiv:2606.12149 v1 · 2026-06-10 · 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{SX3P6AYMG5LZR45EQPGVDLRJE2}

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	2026-06-11T01:10:51.060619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f6ff030c375798f3a483cd51ae2926923bf0cd710db3c1cdafdf079c97811e

Aliases

arxiv: 2606.12149 · arxiv_version: 2606.12149v1 · doi: 10.48550/arxiv.2606.12149 · pith_short_12: SX3P6AYMG5LZ · pith_short_16: SX3P6AYMG5LZR45E · pith_short_8: SX3P6AYM

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/SX3P6AYMG5LZR45EQPGVDLRJE2 \
  | 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: 95f6ff030c375798f3a483cd51ae2926923bf0cd710db3c1cdafdf079c97811e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3668022167daf42cde6ac518fe9c5aba5574fb8b58215fafd8a3c7609431c370",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-10T14:39:46Z",
    "title_canon_sha256": "dd6999d27ba50b2f6989fde37c80908b76618d1cfecb0b81b59430f85351d847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12149",
    "kind": "arxiv",
    "version": 1
  }
}