Pith Number

pith:6VS77WN6

pith:2018:6VS77WN672COKOSSCI5JEM6WRZ

not attested not anchored not stored refs pending

Hilbert-Schmidtness of some finitely generated submodules in $H^2(\mathbb{D}^2)$

Kei Ji Izuchi, Rongwei Yang, Shuaibing Luo

arxiv:1808.08880 v1 · 2018-08-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VS77WN672COKOSSCI5JEM6WRZ}

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	2026-05-18T00:07:12.956728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f565ffd9befe84e53a52123a9233d68e6b14db17d8ed3d61dd2d82714f3086e1

Aliases

arxiv: 1808.08880 · arxiv_version: 1808.08880v1 · doi: 10.48550/arxiv.1808.08880 · pith_short_12: 6VS77WN672CO · pith_short_16: 6VS77WN672COKOSS · pith_short_8: 6VS77WN6

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/6VS77WN672COKOSSCI5JEM6WRZ \
  | 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: f565ffd9befe84e53a52123a9233d68e6b14db17d8ed3d61dd2d82714f3086e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60ae907773c04830c9670f716b6de434a7541ddadbf578d0aa302de47c55028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-27T15:26:33Z",
    "title_canon_sha256": "e14cc6b01b4878d2fd6a0eb4ae8fc8a25a22166dcd7b78bfc3e8defc4faa556f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08880",
    "kind": "arxiv",
    "version": 1
  }
}