Pith Number

pith:MWCTGBYU

pith:2024:MWCTGBYUPKKDSKT2OJWGWDZJIK

not attested not anchored not stored refs pending

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph

Ziyi Xu

arxiv:2411.18852 v1 · 2024-11-28 · 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{MWCTGBYUPKKDSKT2OJWGWDZJIK}

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	2026-07-05T09:41:52.514339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65853307147a94392a7a726c6b0f2942a8f8852716777fd73d9f309501be6f2b

Aliases

arxiv: 2411.18852 · arxiv_version: 2411.18852v1 · doi: 10.48550/arxiv.2411.18852 · pith_short_12: MWCTGBYUPKKD · pith_short_16: MWCTGBYUPKKDSKT2 · pith_short_8: MWCTGBYU

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/MWCTGBYUPKKDSKT2OJWGWDZJIK \
  | 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: 65853307147a94392a7a726c6b0f2942a8f8852716777fd73d9f309501be6f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "095690152931dd4c3dcffec06c16858a06b9faa35e685fbfa99b59f15a6e26fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-28T01:43:44Z",
    "title_canon_sha256": "c0b16cd5be6285f57fd790607b64f992c982caa26c3cfb80f536e48d66bcda36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18852",
    "kind": "arxiv",
    "version": 1
  }
}