Pith Number

pith:2GG6AWJC

pith:2023:2GG6AWJCKRD3IWQPOW5SDVN4TX

not attested not anchored not stored refs pending

A priori estimates for higher-order fractional Laplace equations

Meiqing Xu, Ran Zhuo, Yugao Ouyang

arxiv:2308.02229 v1 · 2023-08-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GG6AWJCKRD3IWQPOW5SDVN4TX}

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	2026-07-05T06:37:39.855356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18de059225447b45a0f75bb21d5bc9dfc9e0a5d2ece05f95fdc4dfd09c718d2

Aliases

arxiv: 2308.02229 · arxiv_version: 2308.02229v1 · doi: 10.48550/arxiv.2308.02229 · pith_short_12: 2GG6AWJCKRD3 · pith_short_16: 2GG6AWJCKRD3IWQP · pith_short_8: 2GG6AWJC

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/2GG6AWJCKRD3IWQPOW5SDVN4TX \
  | 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: d18de059225447b45a0f75bb21d5bc9dfc9e0a5d2ece05f95fdc4dfd09c718d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a1fa8d295fed736d30a3564f7c14f7885fd123f4c3d99ea2c552a35ff4be95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-08-04T09:56:29Z",
    "title_canon_sha256": "3128e184445982ce9c2b5b38d0044914e86d20d48c2af26d7ceb0b153dcf9d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.02229",
    "kind": "arxiv",
    "version": 1
  }
}