Pith Number

pith:N7ELXX5O

pith:2017:N7ELXX5OEKK7RUM67PU6PFX4ND

not attested not anchored not stored refs pending

Towards an algebraic natural proofs barrier via polynomial identity testing

Joshua A. Grochow, Michael Saks, Mrinal Kumar, Shubhangi Saraf

arxiv:1701.01717 v1 · 2017-01-06 · cs.CC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7ELXX5OEKK7RUM67PU6PFX4ND}

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	2026-05-18T00:53:16.160076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc8bbdfae2295f8d19efbe9e796fc68e28defefb2dfe69cbaf14cc0308b18be

Aliases

arxiv: 1701.01717 · arxiv_version: 1701.01717v1 · doi: 10.48550/arxiv.1701.01717 · pith_short_12: N7ELXX5OEKK7 · pith_short_16: N7ELXX5OEKK7RUM6 · pith_short_8: N7ELXX5O

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/N7ELXX5OEKK7RUM67PU6PFX4ND \
  | 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: 6fc8bbdfae2295f8d19efbe9e796fc68e28defefb2dfe69cbaf14cc0308b18be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ddeeb9332cb5e4d16cc3da3a8dd3c01236cf801dd0d45d191b4240cfa45e84",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-01-06T18:27:48Z",
    "title_canon_sha256": "cb1abb2fca455ae05cee6c85c627e08d757e423ec04ee72caed2643b136d3db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01717",
    "kind": "arxiv",
    "version": 1
  }
}