Pith Number

pith:24OAX45K

pith:2026:24OAX45KJWTRQ33XM4YL4LMZJO

not attested not anchored not stored refs pending

Planning to Hammer: Difficulty-Aware Decomposition for Automating Rocq Proofs

Ning Zhang, Nongyu Di, Xiaoxing Ma, Yuan Yao, Zenan Li

arxiv:2606.17981 v1 · 2026-06-16 · cs.SE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24OAX45KJWTRQ33XM4YL4LMZJO}

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	2026-06-19T16:10:45.132020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71c0bf3aa4da7186f776730be2d994bbf34d3493ceb24ec46dd13af800de8be

Aliases

arxiv: 2606.17981 · arxiv_version: 2606.17981v1 · doi: 10.48550/arxiv.2606.17981 · pith_short_12: 24OAX45KJWTR · pith_short_16: 24OAX45KJWTRQ33X · pith_short_8: 24OAX45K

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/24OAX45KJWTRQ33XM4YL4LMZJO \
  | 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: d71c0bf3aa4da7186f776730be2d994bbf34d3493ceb24ec46dd13af800de8be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84401d333bb040ac293b3dbab31d950e1dcff7f57eb5b5b2afa1e501672aaf3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2026-06-16T14:33:15Z",
    "title_canon_sha256": "8033067d9af515d49c743f95a3aa5807c1e9c289f37c43584dda25c64d3f13a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17981",
    "kind": "arxiv",
    "version": 1
  }
}