Pith Number

pith:OW4JZK4W

pith:2026:OW4JZK4W2FA2XGDAHN7GCR3BQ2

not attested not anchored not stored refs pending

Sparse Polynomial Divisibility Test over Finite Field is CoNP-hard

Qiao-Long Huang, Ruichen Qiu, Ruyong Feng, Xiao-Shan Gao, Yichuan Cao

arxiv:2606.12130 v1 · 2026-06-10 · cs.SC · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OW4JZK4W2FA2XGDAHN7GCR3BQ2}

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	2026-06-11T01:10:49.952792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b89cab96d141ab98603b7e61476186b3591337fe820d196a67b88b0df0258b

Aliases

arxiv: 2606.12130 · arxiv_version: 2606.12130v1 · doi: 10.48550/arxiv.2606.12130 · pith_short_12: OW4JZK4W2FA2 · pith_short_16: OW4JZK4W2FA2XGDA · pith_short_8: OW4JZK4W

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/OW4JZK4W2FA2XGDAHN7GCR3BQ2 \
  | 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: 75b89cab96d141ab98603b7e61476186b3591337fe820d196a67b88b0df0258b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5603308fe88ef157dbd76cbe7ecebe950f17d1e0b3816891b77cf2dabef44806",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2026-06-10T14:25:06Z",
    "title_canon_sha256": "7e82e4bb34c5e41c02dc666f8ceb32ab9a329db5fcda2ad0e92d2ed043567033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12130",
    "kind": "arxiv",
    "version": 1
  }
}