Pith Number

pith:NMTQOJD4

pith:2022:NMTQOJD4JLEE4CRNWTK2JMVBPL

not attested not anchored not stored refs pending

LEMMA: Bootstrapping High-Level Mathematical Reasoning with Learned Symbolic Abstractions

Armando Solar-Lezama, Gabriel Poesia, Noah Goodman, Omar Costilla-Reyes, Zhening Li

arxiv:2211.08671 v1 · 2022-11-16 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMTQOJD4JLEE4CRNWTK2JMVBPL}

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	2026-07-05T05:16:42.609628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2707247c4ac84e0a2db4d5a4b2a17af093ae70933cd880280bfcad285b1ad9

Aliases

arxiv: 2211.08671 · arxiv_version: 2211.08671v1 · doi: 10.48550/arxiv.2211.08671 · pith_short_12: NMTQOJD4JLEE · pith_short_16: NMTQOJD4JLEE4CRN · pith_short_8: NMTQOJD4

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/NMTQOJD4JLEE4CRNWTK2JMVBPL \
  | 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: 6b2707247c4ac84e0a2db4d5a4b2a17af093ae70933cd880280bfcad285b1ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae91f8322746d746f34309a734d14b764d7e1b78d967eb642afc2ff40c4861f7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2022-11-16T04:59:08Z",
    "title_canon_sha256": "8eb4eb831ab79f2b58a5136886ea61bc14310bfae28b64c8109e9cc735f351f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.08671",
    "kind": "arxiv",
    "version": 1
  }
}