Pith Number

pith:2CHH2LDH

pith:2026:2CHH2LDHX3L7MCRXJP7F3ZT27E

not attested not anchored not stored refs pending

The Table Says Otherwise: Testing LLMs with Counterfactual Relational Data

Chunwei Liu, Xinzhi Wang

arxiv:2606.23667 v1 · 2026-06-22 · cs.DB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2CHH2LDHX3L7MCRXJP7F3ZT27E}

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	2026-06-23T03:14:34.120422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d08e7d2c67bed7f60a374bfe5de67af93dda2e5f676f96f926b4db2dee4f8d39

Aliases

arxiv: 2606.23667 · arxiv_version: 2606.23667v1 · doi: 10.48550/arxiv.2606.23667 · pith_short_12: 2CHH2LDHX3L7 · pith_short_16: 2CHH2LDHX3L7MCRX · pith_short_8: 2CHH2LDH

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/2CHH2LDHX3L7MCRXJP7F3ZT27E \
  | 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: d08e7d2c67bed7f60a374bfe5de67af93dda2e5f676f96f926b4db2dee4f8d39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5449e0d575d3f939907ed9f22cd923e4a59c80615d992a2a4b977cbfa31737bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2026-06-22T17:52:14Z",
    "title_canon_sha256": "326d19822ccd84f6f4de2604cc07031646eb4d10c727c84f6fab5dc8828e88e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23667",
    "kind": "arxiv",
    "version": 1
  }
}