Pith Number

pith:Q4TOU4PJ

pith:2011:Q4TOU4PJO3I22D3BBK7FWH4WGH

not attested not anchored not stored refs pending

Reproducing kernel Hilbert spaces supporting nontrivial Hermitian weighted composition operators

Paul Bourdon, Wenling Shang

arxiv:1104.1329 v1 · 2011-04-07 · 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{Q4TOU4PJO3I22D3BBK7FWH4WGH}

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	2026-05-18T04:24:52.431911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8726ea71e976d1ad0f610abe5b1f9631ec26e9b6accd091bce18163eee660eb5

Aliases

arxiv: 1104.1329 · arxiv_version: 1104.1329v1 · doi: 10.48550/arxiv.1104.1329 · pith_short_12: Q4TOU4PJO3I2 · pith_short_16: Q4TOU4PJO3I22D3B · pith_short_8: Q4TOU4PJ

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/Q4TOU4PJO3I22D3BBK7FWH4WGH \
  | 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: 8726ea71e976d1ad0f610abe5b1f9631ec26e9b6accd091bce18163eee660eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f704635c6ec1478e8f732a7e64aaf61670ac4ad4cfaa2e5ff119f3a8c8457f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-07T13:44:20Z",
    "title_canon_sha256": "a8cc4cbc33540542bbd1590187a51bb0c06279961afcedc11f54c6021d368580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1329",
    "kind": "arxiv",
    "version": 1
  }
}