Pith Number

pith:X7ZSMRMP

pith:2014:X7ZSMRMP652BISPNCF3GRHSOR6

not attested not anchored not stored refs pending

Boundedness for Gevrey and Gelfand-Shilov kernels to positive operators

Joachim Toft, Yuanyuan Chen

arxiv:1404.5753 v1 · 2014-04-23 · 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{X7ZSMRMP652BISPNCF3GRHSOR6}

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	2026-05-18T02:53:28.025395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff326458ff7741449ed1176689e4e8f952d887469da71bd4cdd1f6e343879ea

Aliases

arxiv: 1404.5753 · arxiv_version: 1404.5753v1 · doi: 10.48550/arxiv.1404.5753 · pith_short_12: X7ZSMRMP652B · pith_short_16: X7ZSMRMP652BISPN · pith_short_8: X7ZSMRMP

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/X7ZSMRMP652BISPNCF3GRHSOR6 \
  | 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: bff326458ff7741449ed1176689e4e8f952d887469da71bd4cdd1f6e343879ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d143e8ec08054680a87b70618ecdebabc0a0d6f239404798b71423df9d583f0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-23T09:16:56Z",
    "title_canon_sha256": "e0e336cfefd35d06e45494d90cd56b6ec95d47008e430fd9a35527e6208e3010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5753",
    "kind": "arxiv",
    "version": 1
  }
}