Pith Number

pith:TOSMBY4D

pith:2021:TOSMBY4DCGALVY76CO3MZ3BRHZ

not attested not anchored not stored refs pending

Contrastive Reinforcement Learning of Symbolic Reasoning Domains

Gabriel Poesia, Noah Goodman, Wenxin Dong

arxiv:2106.09146 v2 · 2021-06-16 · cs.AI · 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{TOSMBY4DCGALVY76CO3MZ3BRHZ}

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	2026-07-05T03:29:50.164191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba4c0e3831180bae3fe13b6ccec313e4253e73448175ec34c891d9a97f98659

Aliases

arxiv: 2106.09146 · arxiv_version: 2106.09146v2 · doi: 10.48550/arxiv.2106.09146 · pith_short_12: TOSMBY4DCGAL · pith_short_16: TOSMBY4DCGALVY76 · pith_short_8: TOSMBY4D

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/TOSMBY4DCGALVY76CO3MZ3BRHZ \
  | 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: 9ba4c0e3831180bae3fe13b6ccec313e4253e73448175ec34c891d9a97f98659

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9441ff963c0282f6f2c000d5ad20a95798cc00488f53be23e827b681582e6681",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2021-06-16T21:46:07Z",
    "title_canon_sha256": "7f3ccc2a0fcac13d0726896f7a4cfa3990b64f7ab49be1ca69d7873c3050db09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09146",
    "kind": "arxiv",
    "version": 2
  }
}