Pith Number

pith:US4P4ZKA

pith:2020:US4P4ZKAQGDQGA642UI6WGAS67

not attested not anchored not stored refs pending

Opponent Learning Awareness and Modelling in Multi-Objective Normal Form Games

Ann Now\'e, Diederik M. Roijers, Patrick Mannion, Roxana R\u{a}dulescu, Timothy Verstraeten, Yijie Zhang

arxiv:2011.07290 v1 · 2020-11-14 · cs.MA · cs.AI · cs.GT · 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{US4P4ZKAQGDQGA642UI6WGAS67}

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	2026-07-05T01:51:47.948851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4b8fe654081870303dcd511eb1812f7d879f7e0ef0941920f9ce8ee6c6e53ea

Aliases

arxiv: 2011.07290 · arxiv_version: 2011.07290v1 · doi: 10.48550/arxiv.2011.07290 · pith_short_12: US4P4ZKAQGDQ · pith_short_16: US4P4ZKAQGDQGA64 · pith_short_8: US4P4ZKA

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/US4P4ZKAQGDQGA642UI6WGAS67 \
  | 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: a4b8fe654081870303dcd511eb1812f7d879f7e0ef0941920f9ce8ee6c6e53ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b639711fcf0e3a0e6982aa8283f3d41464158895b767eac3c0cb5772e9543e3f",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.GT",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2020-11-14T12:35:32Z",
    "title_canon_sha256": "cc888d84af4b87be57aac6318170ac1a288d7d153b6d9224f4c2fb09457c1c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.07290",
    "kind": "arxiv",
    "version": 1
  }
}