Pith Number

pith:ESG4RM7E

pith:2012:ESG4RM7EBTR54UGFBIV2NVWLWS

not attested not anchored not stored refs pending

Reproducing Kernels of Generalized Sobolev Spaces via a Green Function Approach with Distributional Operators

Gregory E. Fasshauer, Qi Ye

arxiv:1204.6448 v3 · 2012-04-29 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESG4RM7EBTR54UGFBIV2NVWLWS}

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	2026-05-18T03:32:05.598695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248dc8b3e40ce3de50c50a2ba6d6cbb48545fe77b83246e440c127cfa99486b1

Aliases

arxiv: 1204.6448 · arxiv_version: 1204.6448v3 · doi: 10.48550/arxiv.1204.6448 · pith_short_12: ESG4RM7EBTR5 · pith_short_16: ESG4RM7EBTR54UGF · pith_short_8: ESG4RM7E

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/ESG4RM7EBTR54UGFBIV2NVWLWS \
  | 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: 248dc8b3e40ce3de50c50a2ba6d6cbb48545fe77b83246e440c127cfa99486b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e945f4658c2ee5a23cbc776e73b7e11674283b8aec441a7649b954e3281bf684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-04-29T02:27:46Z",
    "title_canon_sha256": "f8481ed7402b11c7b6d6b1e4510c0d9fb616cd27727e834f0be8c21f85368010"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6448",
    "kind": "arxiv",
    "version": 3
  }
}