Pith Number

pith:VRLN5RI7

pith:2014:VRLN5RI7UFYJLZZHKXRPSRQP3J

not attested not anchored not stored refs pending

Atomic decompositions for operators in reproducing kernel Hilbert spaces

Laura Gavruta

arxiv:1401.8150 v1 · 2014-01-31 · 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{VRLN5RI7UFYJLZZHKXRPSRQP3J}

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	2026-05-18T03:00:28.091143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac56dec51fa17095e72755e2f9460fda61c40b5b89e5a134d190bf82b1fe83c8

Aliases

arxiv: 1401.8150 · arxiv_version: 1401.8150v1 · doi: 10.48550/arxiv.1401.8150 · pith_short_12: VRLN5RI7UFYJ · pith_short_16: VRLN5RI7UFYJLZZH · pith_short_8: VRLN5RI7

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/VRLN5RI7UFYJLZZHKXRPSRQP3J \
  | 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: ac56dec51fa17095e72755e2f9460fda61c40b5b89e5a134d190bf82b1fe83c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a53f8c7d9dc07c9834b1d3eb74b82e1d5f675d9960133dda77dbad64a41d80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-31T12:17:51Z",
    "title_canon_sha256": "5add4add1b74a9d290ca1331f9e60fd5bd34e96a6124b88d2e7deeff5d38b291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.8150",
    "kind": "arxiv",
    "version": 1
  }
}