Pith Number

pith:4UZU4OUC

pith:2018:4UZU4OUCAD5CJF6B7ULD46YZ5R

not attested not anchored not stored refs pending

Grassmannian Learning: Embedding Geometry Awareness in Shallow and Deep Learning

Guangxu Zhu, Jiayao Zhang, Kaibin Huang, Robert W. Heath Jr.

arxiv:1808.02229 v2 · 2018-08-07 · cs.LG · cs.CV · cs.IT · eess.SP · math.IT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UZU4OUCAD5CJF6B7ULD46YZ5R}

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	2026-05-18T00:08:20.251149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5334e3a8200fa2497c1fd163e7b19ec40f913bd7dc1dcccd0ab884c10cbefd0

Aliases

arxiv: 1808.02229 · arxiv_version: 1808.02229v2 · doi: 10.48550/arxiv.1808.02229 · pith_short_12: 4UZU4OUCAD5C · pith_short_16: 4UZU4OUCAD5CJF6B · pith_short_8: 4UZU4OUC

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/4UZU4OUCAD5CJF6B7ULD46YZ5R \
  | 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: e5334e3a8200fa2497c1fd163e7b19ec40f913bd7dc1dcccd0ab884c10cbefd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e1a09b495e0379f8f14898a402ee91d7527b2d33f1158514d6f8473507bc2b6",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.IT",
      "eess.SP",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-08-07T06:54:06Z",
    "title_canon_sha256": "89fa859b1b80f8eb090bb3d42bd5fa1d0fc9eb52aad7932825d74c4d817c58d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02229",
    "kind": "arxiv",
    "version": 2
  }
}