Pith Number

pith:324QXPG2

pith:2024:324QXPG25TUQDU3MOTJVIT4G6L

not attested not anchored not stored refs pending

Enhancing Mathematical Reasoning in LLMs with Background Operators

Jiajun Chen, Yik-Cheung Tam

arxiv:2412.04110 v1 · 2024-12-05 · 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{324QXPG25TUQDU3MOTJVIT4G6L}

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	2026-07-05T09:44:59.709263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb90bbcdaece901d36c74d3544f86f2cdff18ac84548b304b6587c667e182bf

Aliases

arxiv: 2412.04110 · arxiv_version: 2412.04110v1 · doi: 10.48550/arxiv.2412.04110 · pith_short_12: 324QXPG25TUQ · pith_short_16: 324QXPG25TUQDU3M · pith_short_8: 324QXPG2

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/324QXPG25TUQDU3MOTJVIT4G6L \
  | 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: deb90bbcdaece901d36c74d3544f86f2cdff18ac84548b304b6587c667e182bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23b4b7b2357e4d0e904a3040c0184fb79486d9903b9e4278d0b80c93f72cb697",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-12-05T12:24:54Z",
    "title_canon_sha256": "622c10f5911c619346a64436e1aa91ac61cdbc85de8504e9173cb16551e237ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04110",
    "kind": "arxiv",
    "version": 1
  }
}