Pith Number

pith:XWOFN55P

pith:2026:XWOFN55P2NH7WOT7AZ2LOD6AYL

not attested not anchored not stored refs pending

Long-Horizon AI Research for Grothendieck Constant: A Case Study in Human-AI Mathematical Collaboration

Adam Klivans, Alan Li, Anton Xue, Pravesh K Kothari, Raghu Meka, Rahul Saha, Swarat Chaudhuri

arxiv:2608.11195 v1 · 2026-08-11 · cs.AI · cs.CC · cs.HC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWOFN55P2NH7WOT7AZ2LOD6AYL}

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	2026-08-12T01:24:47.484760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9c56f7afd34ffb3a7f0674b70fc0c2c5b27534ab20f9f51215fa70d122a8f3

Aliases

arxiv: 2608.11195 · arxiv_version: 2608.11195v1 · doi: 10.48550/arxiv.2608.11195 · pith_short_12: XWOFN55P2NH7 · pith_short_16: XWOFN55P2NH7WOT7 · pith_short_8: XWOFN55P

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/XWOFN55P2NH7WOT7AZ2LOD6AYL \
  | 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: bd9c56f7afd34ffb3a7f0674b70fc0c2c5b27534ab20f9f51215fa70d122a8f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef37620abc00c502f321751f8f4eeddbe68bb8b990587fc8a220a92ab474273",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.HC",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-08-11T17:53:48Z",
    "title_canon_sha256": "559b93d48a73262c9913db49cc09b36055b2966132aabb2c7bc6e06dd43f3e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11195",
    "kind": "arxiv",
    "version": 1
  }
}