Pith Number

pith:5CZW3EFN

pith:2008:5CZW3EFNDOX3QNWJ7LMFW432QH

not attested not anchored not stored refs pending

Radon, cosine and sine transforms on Grassmannian manifolds

Genkai Zhang

arxiv:0810.5257 v2 · 2008-10-29 · 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{5CZW3EFNDOX3QNWJ7LMFW432QH}

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	2026-05-18T03:07:55.262478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b36d90ad1bafb836c9fad85b737a81d9d28cb805fe2f7548b170b516fea6be

Aliases

arxiv: 0810.5257 · arxiv_version: 0810.5257v2 · doi: 10.48550/arxiv.0810.5257 · pith_short_12: 5CZW3EFNDOX3 · pith_short_16: 5CZW3EFNDOX3QNWJ · pith_short_8: 5CZW3EFN

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/5CZW3EFNDOX3QNWJ7LMFW432QH \
  | 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: e8b36d90ad1bafb836c9fad85b737a81d9d28cb805fe2f7548b170b516fea6be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf10ff6806ce587a5ea090ffffce2f95d56a1c8bdd73ccb1604091b0c0211557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-10-29T12:04:08Z",
    "title_canon_sha256": "09beb193ea6a902d378977aed8b82c0a15c31ff4378b44d707d7b798dacf5385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.5257",
    "kind": "arxiv",
    "version": 2
  }
}