Pith Number

pith:4CXES7RZ

pith:2015:4CXES7RZOOQKSKQCZCZ6HJJIEL

not attested not anchored not stored refs pending

Complex $\text{G}_2$ and Associative Grassmannian

Mahir Bilen Can, Selman Akbulut

arxiv:1512.03191 v3 · 2015-12-10 · math.AG · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CXES7RZOOQKSKQCZCZ6HJJIEL}

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	2026-05-18T00:19:59.562861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0ae497e3973a0a92a02c8b3e3a52822fa0988dba517291f4b9ebae228d47632

Aliases

arxiv: 1512.03191 · arxiv_version: 1512.03191v3 · doi: 10.48550/arxiv.1512.03191 · pith_short_12: 4CXES7RZOOQK · pith_short_16: 4CXES7RZOOQKSKQC · pith_short_8: 4CXES7RZ

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/4CXES7RZOOQKSKQCZCZ6HJJIEL \
  | 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: e0ae497e3973a0a92a02c8b3e3a52822fa0988dba517291f4b9ebae228d47632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4620ae5fe10eb7351d9b8e0e18769aeb35a569042502d7909c389394d52e39",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-10T09:45:06Z",
    "title_canon_sha256": "f931b3f20f121e397c8448e12386a2dedb80855f4b7392f4ee3a41135084def6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03191",
    "kind": "arxiv",
    "version": 3
  }
}