Pith Number

pith:GYFMVA6D

pith:2017:GYFMVA6DM2434JH53U74TAV26A

not attested not anchored not stored refs pending

Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian

Koichi Taniguchi, Tokio Matsuyama, Tsukasa Iwabuchi

arxiv:1705.08595 v2 · 2017-05-24 · 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{GYFMVA6DM2434JH53U74TAV26A}

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	2026-05-18T00:14:01.119863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360aca83c366b9be24fddd3fc982baf00f2c8993b1df6776150523bb51eca7c8

Aliases

arxiv: 1705.08595 · arxiv_version: 1705.08595v2 · doi: 10.48550/arxiv.1705.08595 · pith_short_12: GYFMVA6DM243 · pith_short_16: GYFMVA6DM2434JH5 · pith_short_8: GYFMVA6D

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/GYFMVA6DM2434JH53U74TAV26A \
  | 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: 360aca83c366b9be24fddd3fc982baf00f2c8993b1df6776150523bb51eca7c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7645e8e1b441b19083396cd0a0e854336586aabab9488572a1cd863504a38438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-24T03:45:36Z",
    "title_canon_sha256": "6ec8081ce76da374587065b6b8bc74c3c72d5db5499152941260f8a6c45e336a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08595",
    "kind": "arxiv",
    "version": 2
  }
}