Pith Number

pith:EC35DWUG

pith:2018:EC35DWUGVZ7CINCE3D3BR6TZQ3

not attested not anchored not stored refs pending

The Grassmannian of affine subspaces

Ken Sze-Wai Wong, Ke Ye, Lek-Heng Lim

arxiv:1807.10883 v1 · 2018-07-28 · math.DG · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EC35DWUGVZ7CINCE3D3BR6TZQ3}

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	2026-05-18T00:09:37.129393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b7d1da86ae7e243444d8f618fa7986ea86df89772fed06850b519604627e8e

Aliases

arxiv: 1807.10883 · arxiv_version: 1807.10883v1 · doi: 10.48550/arxiv.1807.10883 · pith_short_12: EC35DWUGVZ7C · pith_short_16: EC35DWUGVZ7CINCE · pith_short_8: EC35DWUG

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/EC35DWUGVZ7CINCE3D3BR6TZQ3 \
  | 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: 20b7d1da86ae7e243444d8f618fa7986ea86df89772fed06850b519604627e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469c33aaa23fb7c9692750a94379d6c88b395a477b890066e104937c5175f7aa",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-28T03:47:58Z",
    "title_canon_sha256": "8ba5ba9cb145c6cd1b98103d06d3fdd3884b1c1951d386dca1e68fef678ee4fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10883",
    "kind": "arxiv",
    "version": 1
  }
}