Pith Number

pith:P2ORYK52

pith:2019:P2ORYK52V7Z6VREMGLFEDQHQT4

not attested not anchored not stored refs pending

Sufficient conditions for STS$(3^k)$ of 3-rank $\leq 3^k-r$ to be resolvable

Minjia Shi, Yaqi Lu

arxiv:1906.00620 v1 · 2019-06-03 · math.CO

Open paper page JSON What is a Pith Number?

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

Receipt and verification

First computed	2026-05-17T23:44:24.330414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9d1c2bbaaff3eac48c32ca41c0f09f2e2d144260690edcdfb3db11974ae442

Aliases

arxiv: 1906.00620 · arxiv_version: 1906.00620v1 · doi: 10.48550/arxiv.1906.00620

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/P2ORYK52V7Z6VREMGLFEDQHQT4 \
  | 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: 7e9d1c2bbaaff3eac48c32ca41c0f09f2e2d144260690edcdfb3db11974ae442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a7dd1c53d9f287fe5cc35c222d3ab8c46dd19c1c8da5dc839db0b25af67b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-03T08:07:08Z",
    "title_canon_sha256": "713912b0cfc8297298a3916558f753f13477aa10e819459d8999100490560f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00620",
    "kind": "arxiv",
    "version": 1
  }
}