Pith Number

pith:C5EJHKIO

pith:2016:C5EJHKIOE64ANYHYURU4YVIRR4

not attested not anchored not stored refs pending

A parabolic Triebel-Lizorkin space estimate for the fractional Laplacian operator

Minsuk Yang

arxiv:1606.01188 v1 · 2016-06-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5EJHKIOE64ANYHYURU4YVIRR4}

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	2026-05-18T01:12:59.107532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174893a90e27b806e0f8a469cc55118f04b6ffb57a9a1d1a33fa5fd69eb89868

Aliases

arxiv: 1606.01188 · arxiv_version: 1606.01188v1 · doi: 10.48550/arxiv.1606.01188 · pith_short_12: C5EJHKIOE64A · pith_short_16: C5EJHKIOE64ANYHY · pith_short_8: C5EJHKIO

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/C5EJHKIOE64ANYHYURU4YVIRR4 \
  | 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: 174893a90e27b806e0f8a469cc55118f04b6ffb57a9a1d1a33fa5fd69eb89868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0f03526c8bb14fc8b7ad00214a40a8bbf519f16c456dff8307f7adfa1e56da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-03T17:07:50Z",
    "title_canon_sha256": "e9b8294309486cc31bd0f9c2925b2d8e2415b3d0c40df498bf34b15e7711beb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01188",
    "kind": "arxiv",
    "version": 1
  }
}