Pith Number

pith:ER3PVJ4E

pith:2018:ER3PVJ4E6DR3HXDL2CC4REZSWH

not attested not anchored not stored refs pending

Failure of $L^2$ boundedness of gradients of single layer potentials for measures with zero low density

Jos\'e M. Conde-Alonso, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1801.08453 v2 · 2018-01-25 · 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{ER3PVJ4E6DR3HXDL2CC4REZSWH}

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	2026-05-18T00:12:18.510924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2476faa784f0e3b3dc6bd085c89332b1d42d4e6d5551aad6e0a13e41763733ba

Aliases

arxiv: 1801.08453 · arxiv_version: 1801.08453v2 · doi: 10.48550/arxiv.1801.08453 · pith_short_12: ER3PVJ4E6DR3 · pith_short_16: ER3PVJ4E6DR3HXDL · pith_short_8: ER3PVJ4E

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/ER3PVJ4E6DR3HXDL2CC4REZSWH \
  | 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: 2476faa784f0e3b3dc6bd085c89332b1d42d4e6d5551aad6e0a13e41763733ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0d3261c9727c95e98fdb30fcf758f547dc1a51e57f45e18aaeaeda8e66e9616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-25T15:35:23Z",
    "title_canon_sha256": "24c218d2e8b6617f09bee964410ab30a0d53fd74f4e7ed883d518911ee338579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08453",
    "kind": "arxiv",
    "version": 2
  }
}