Pith Number

pith:4NN2V3NT

pith:2013:4NN2V3NTJEVFNR7XN3TUQKUBVN

not attested not anchored not stored refs pending

Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities

Hirotake Kurihara, Takayuki Okuda

arxiv:1303.5936 v1 · 2013-03-24 · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NN2V3NTJEVFNR7XN3TUQKUBVN}

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	2026-05-18T03:29:52.463966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35baaedb3492a56c7f76ee7482a81ab558ed053e25ebbb326fd5be9f8c17d4d

Aliases

arxiv: 1303.5936 · arxiv_version: 1303.5936v1 · doi: 10.48550/arxiv.1303.5936 · pith_short_12: 4NN2V3NTJEVF · pith_short_16: 4NN2V3NTJEVFNR7X · pith_short_8: 4NN2V3NT

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/4NN2V3NTJEVFNR7XN3TUQKUBVN \
  | 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: e35baaedb3492a56c7f76ee7482a81ab558ed053e25ebbb326fd5be9f8c17d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1ab9aaddd22f9ec69819936bde557367db9e560dd5403e20837aca0c55033a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-24T10:53:16Z",
    "title_canon_sha256": "fbb194ca2e17d19205fe4f4429bd9bffa7e289603e887be3ef191881612c4470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5936",
    "kind": "arxiv",
    "version": 1
  }
}