Pith Number

pith:YR7UTNSB

pith:2026:YR7UTNSBY2W7PRJWMOCO3763OC

not attested not anchored not stored refs pending

The Arithmetic Circuit Combinatorial Nullstellensatz is NP-hard

Andreas Bj\"orklund

arxiv:2606.08646 v1 · 2026-06-07 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YR7UTNSBY2W7PRJWMOCO3763OC}

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	2026-06-09T01:05:42.362268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47f49b641c6adf7c5366384edffdb70a48ca905e41cc0df1d2a2aaf84e9ee82

Aliases

arxiv: 2606.08646 · arxiv_version: 2606.08646v1 · doi: 10.48550/arxiv.2606.08646 · pith_short_12: YR7UTNSBY2W7 · pith_short_16: YR7UTNSBY2W7PRJW · pith_short_8: YR7UTNSB

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/YR7UTNSBY2W7PRJWMOCO3763OC \
  | 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: c47f49b641c6adf7c5366384edffdb70a48ca905e41cc0df1d2a2aaf84e9ee82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d074853203df0a7e83c6a913c0119f3eb010525f1294015befa8ded55e3115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-07T14:23:23Z",
    "title_canon_sha256": "ac34d341def12817cf52ae326f1203a3b0cddca375e701d6181c04afb4d9c239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08646",
    "kind": "arxiv",
    "version": 1
  }
}