Pith Number

pith:SV4WQ2FP

pith:2026:SV4WQ2FPSUPSSDGOJMUXTEDKP2

not attested not anchored not stored refs pending

Failure Modes of Large Language Models on Research-Level Mathematics: A Taxonomy and an Empirical Characterisation

Arnesh Banerjee, Ayushi Bhattacharjee

arxiv:2606.24902 v1 · 2026-06-12 · cs.DL · 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{SV4WQ2FPSUPSSDGOJMUXTEDKP2}

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	2026-06-25T00:17:45.604999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95796868af951f290cce4b2979906a7e9da3ff24a4cff0037f65ea9b02e15c46

Aliases

arxiv: 2606.24902 · arxiv_version: 2606.24902v1 · doi: 10.48550/arxiv.2606.24902 · pith_short_12: SV4WQ2FPSUPS · pith_short_16: SV4WQ2FPSUPSSDGO · pith_short_8: SV4WQ2FP

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/SV4WQ2FPSUPSSDGOJMUXTEDKP2 \
  | 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: 95796868af951f290cce4b2979906a7e9da3ff24a4cff0037f65ea9b02e15c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd1fd7d511420c6303164bb4fe617209c60abde5768869774cfc4d38159f700",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DL",
    "submitted_at": "2026-06-12T14:58:20Z",
    "title_canon_sha256": "97afdaaddce689c6892f4e0658ce9a1d69a16a6edf471e1e6c17dcc3605666f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24902",
    "kind": "arxiv",
    "version": 1
  }
}