Pith Number

pith:ZCWWN77Z

pith:2018:ZCWWN77ZBVBYIBP4FSYOSXITES

not attested not anchored not stored refs pending

On the convergence in $H^1$-norm for the fractional Laplacian

Juan Pablo Borthagaray, Patrick Ciarlet Jr

arxiv:1810.07645 v1 · 2018-10-17 · 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{ZCWWN77ZBVBYIBP4FSYOSXITES}

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	2026-05-18T00:02:55.535360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ad66fff90d438405fc2cb0e95d1324957f075649dfad77dceb19542814a36e

Aliases

arxiv: 1810.07645 · arxiv_version: 1810.07645v1 · doi: 10.48550/arxiv.1810.07645 · pith_short_12: ZCWWN77ZBVBY · pith_short_16: ZCWWN77ZBVBYIBP4 · pith_short_8: ZCWWN77Z

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/ZCWWN77ZBVBYIBP4FSYOSXITES \
  | 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: c8ad66fff90d438405fc2cb0e95d1324957f075649dfad77dceb19542814a36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e31cdfb98246a40025f56f19ccd9e6942e027df2eacc813938eeab976ddf4fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-10-17T16:23:14Z",
    "title_canon_sha256": "8af0ec03249153f3305b855273b184be12d977475bdedfd5bbe4d033678f1fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07645",
    "kind": "arxiv",
    "version": 1
  }
}