Pith Number

pith:LLYVQK2M

pith:2021:LLYVQK2MY4QIMGRCZ6J2YW32UG

not attested not anchored not stored refs pending

Intelligent Players in a Fictitious Play Framework

Aris Kanellopoulos, Bhaskar Vundurthy, Kyriakos Vamvoudakis, Vijay Gupta

arxiv:2110.05939 v1 · 2021-10-12 · cs.GT · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLYVQK2MY4QIMGRCZ6J2YW32UG}

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	2026-07-05T03:22:08.659708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af1582b4cc720861a22cf93ac5b7aa1a225750297e0f3048e4eaa6717b2f181

Aliases

arxiv: 2110.05939 · arxiv_version: 2110.05939v1 · doi: 10.48550/arxiv.2110.05939 · pith_short_12: LLYVQK2MY4QI · pith_short_16: LLYVQK2MY4QIMGRC · pith_short_8: LLYVQK2M

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/LLYVQK2MY4QIMGRCZ6J2YW32UG \
  | 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: 5af1582b4cc720861a22cf93ac5b7aa1a225750297e0f3048e4eaa6717b2f181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a35c3c8fdc670ee64dd1282aba980c5c92aa015d96336c31bdcc26904e5c5cc",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2021-10-12T12:26:47Z",
    "title_canon_sha256": "2697df6eae301c0a421af9c453059760ddb59da30bd1e7a10d18a7870a705db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.05939",
    "kind": "arxiv",
    "version": 1
  }
}