Pith Number

pith:LCPOGSXF

pith:2021:LCPOGSXFQKI4HHACVZW2F3E2AV

not attested not anchored not stored refs pending

Parabolic weighted Sobolev-Poincar\'e type inequalities

Jihoon Ok, Lars Diening, Mikyoung Lee

arxiv:2108.00656 v2 · 2021-08-02 · 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{LCPOGSXFQKI4HHACVZW2F3E2AV}

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	2026-07-05T03:46:59.899551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589ee34ae58291c39c02ae6da2ec9a056c53f5867d5a64acabdc321325bd2a9b

Aliases

arxiv: 2108.00656 · arxiv_version: 2108.00656v2 · doi: 10.48550/arxiv.2108.00656 · pith_short_12: LCPOGSXFQKI4 · pith_short_16: LCPOGSXFQKI4HHAC · pith_short_8: LCPOGSXF

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/LCPOGSXFQKI4HHACVZW2F3E2AV \
  | 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: 589ee34ae58291c39c02ae6da2ec9a056c53f5867d5a64acabdc321325bd2a9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37bd2769b7085f761ed7989becb68a1383b8d3f026a8efad589edd96046f8107",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-02T06:28:26Z",
    "title_canon_sha256": "56d301de74605cf6c0055acf0348106cecdf19425f031be153ecc899d0817e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00656",
    "kind": "arxiv",
    "version": 2
  }
}