Pith Number

pith:6NME6JVY

pith:2019:6NME6JVYTAVGRCNNFFSFRVWYM4

not attested not anchored not stored refs pending

An Auxiliary Space Preconditioner for Fractional Laplacian of Negative Order

Trygve B{\ae}rland

arxiv:1908.04498 v1 · 2019-08-13 · math.NA · cs.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{6NME6JVYTAVGRCNNFFSFRVWYM4}

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	2026-07-04T23:55:14.176976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3584f26b8982a6889ad296458d6d8670692454e74ac2d9add03c68002defe11

Aliases

arxiv: 1908.04498 · arxiv_version: 1908.04498v1 · doi: 10.48550/arxiv.1908.04498 · pith_short_12: 6NME6JVYTAVG · pith_short_16: 6NME6JVYTAVGRCNN · pith_short_8: 6NME6JVY

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/6NME6JVYTAVGRCNNFFSFRVWYM4 \
  | 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: f3584f26b8982a6889ad296458d6d8670692454e74ac2d9add03c68002defe11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20f55c54d58150aed16aedcaf08946417965b2a28b4552383a57661614759fb",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-13T05:49:53Z",
    "title_canon_sha256": "d19118526ad8d8e8c1063b75c1873bac4c6cb4426247ace59ee69105d89f5765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04498",
    "kind": "arxiv",
    "version": 1
  }
}