Pith Number

pith:XZTWQMSR

pith:2020:XZTWQMSRR2IK7RGXRWBF2M5TUJ

not attested not anchored not stored refs pending

Unique continuation property and Poincar\'e inequality for higher order fractional Laplacians with applications in inverse problems

Giovanni Covi, Jesse Railo, Keijo M\"onkk\"onen

arxiv:2001.06210 v3 · 2020-01-17 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZTWQMSRR2IK7RGXRWBF2M5TUJ}

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	2026-07-05T04:02:36.609911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be676832518e90afc4d78d825d33b3a24ef5082fc4db30529a644d8f69e481d2

Aliases

arxiv: 2001.06210 · arxiv_version: 2001.06210v3 · doi: 10.48550/arxiv.2001.06210 · pith_short_12: XZTWQMSRR2IK · pith_short_16: XZTWQMSRR2IK7RGX · pith_short_8: XZTWQMSR

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/XZTWQMSRR2IK7RGXRWBF2M5TUJ \
  | 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: be676832518e90afc4d78d825d33b3a24ef5082fc4db30529a644d8f69e481d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a7933ca1e165b0241101dc5108b165637b11c930381bd6986c16953b778907a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-01-17T09:25:01Z",
    "title_canon_sha256": "830fe568b6b680c808206e9f5e3a3b864ee714934e3c7b9ef818f1040bf3f204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06210",
    "kind": "arxiv",
    "version": 3
  }
}