Pith Number

pith:W4QMYSDT

pith:2024:W4QMYSDTY3L76HZIQ5RKEHETZO

not attested not anchored not stored refs pending

Thinking with Knowledge Graphs: Enhancing LLM Reasoning Through Structured Data

Kostas Tsioutsiouliklis, Xue Wu

arxiv:2412.10654 v1 · 2024-12-14 · cs.CL · 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{W4QMYSDTY3L76HZIQ5RKEHETZO}

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	2026-07-05T09:49:19.230779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b720cc4873c6d7ff1f288762a21c93cb89a3ed86d785e88516a8ccdb44afc6b9

Aliases

arxiv: 2412.10654 · arxiv_version: 2412.10654v1 · doi: 10.48550/arxiv.2412.10654 · pith_short_12: W4QMYSDTY3L7 · pith_short_16: W4QMYSDTY3L76HZI · pith_short_8: W4QMYSDT

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/W4QMYSDTY3L76HZIQ5RKEHETZO \
  | 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: b720cc4873c6d7ff1f288762a21c93cb89a3ed86d785e88516a8ccdb44afc6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec46950e47f36c9a0b07de7a9507e87bc39ad9a9720c34fb887277bd37fbde30",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-12-14T02:51:47Z",
    "title_canon_sha256": "b27df49c56786995b316758fb38fbcae51fcbe4c86c5ad901ec063862c50842c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10654",
    "kind": "arxiv",
    "version": 1
  }
}