Pith Number

pith:CLZTUILY

pith:2018:CLZTUILYWDTH73NNIO56RDKAHO

not attested not anchored not stored refs pending

Multigrid Methods for Discrete Fractional Sobolev Spaces

Kent-Andre Mardal, Miroslav Kuchta, Trygve B{\ae}rland

arxiv:1806.00222 v1 · 2018-06-01 · 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{CLZTUILYWDTH73NNIO56RDKAHO}

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	2026-05-18T00:14:27.566327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12f33a2178b0e67fedad43bbe88d403b87943859796f14509f372b0cda23ffdf

Aliases

arxiv: 1806.00222 · arxiv_version: 1806.00222v1 · doi: 10.48550/arxiv.1806.00222 · pith_short_12: CLZTUILYWDTH · pith_short_16: CLZTUILYWDTH73NN · pith_short_8: CLZTUILY

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/CLZTUILYWDTH73NNIO56RDKAHO \
  | 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: 12f33a2178b0e67fedad43bbe88d403b87943859796f14509f372b0cda23ffdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425d081936e9a725f5b623ee4ecbf493f382ddf10f44afa25bfcdff228608bf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-01T07:37:20Z",
    "title_canon_sha256": "47eb2830dc3500a530730ee760b0bd46bc9c0e2fa99ec80953b7f34d80a95d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00222",
    "kind": "arxiv",
    "version": 1
  }
}