Pith Number

pith:MLMHQBJ6

pith:2026:MLMHQBJ6QRNFLLRF5GKFSWZ2EU

not attested not anchored not stored refs pending

Intractability of Hilbert's Nullstellensatz implies algebraic hardness of permanent

Peter B\"urgisser

arxiv:2606.25121 v1 · 2026-06-23 · 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{MLMHQBJ6QRNFLLRF5GKFSWZ2EU}

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	2026-06-25T00:18:18.618837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d878053e845a55ae25e994595b3a2527f701745ab475c207561b965b478392

Aliases

arxiv: 2606.25121 · arxiv_version: 2606.25121v1 · doi: 10.48550/arxiv.2606.25121 · pith_short_12: MLMHQBJ6QRNF · pith_short_16: MLMHQBJ6QRNFLLRF · pith_short_8: MLMHQBJ6

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/MLMHQBJ6QRNFLLRF5GKFSWZ2EU \
  | 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: 62d878053e845a55ae25e994595b3a2527f701745ab475c207561b965b478392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924fa04809f66db270557d3e163ef1ee29bbaf35515a82f22faae02baf5bde03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-23T19:51:42Z",
    "title_canon_sha256": "010d5d35ff3d28400ca1bc65c0c7f880a8b7a8e1af6327b12c69fbde8527900b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25121",
    "kind": "arxiv",
    "version": 1
  }
}