Pith Number

pith:EJOUJ5OY

pith:2012:EJOUJ5OYKUOEHRS27XTTYMUCOY

not attested not anchored not stored refs pending

Derivative Formulae and Poincar\'e Inequality for Kohn-Laplacian Type Semigroups

Feng-Yu Wang

arxiv:1208.5093 v2 · 2012-08-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJOUJ5OYKUOEHRS27XTTYMUCOY}

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	2026-05-18T02:54:21.740654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

225d44f5d8551c43c65afde73c32827638f0e468b12651fe0b9e0bd5e47bf8ff

Aliases

arxiv: 1208.5093 · arxiv_version: 1208.5093v2 · doi: 10.48550/arxiv.1208.5093 · pith_short_12: EJOUJ5OYKUOE · pith_short_16: EJOUJ5OYKUOEHRS2 · pith_short_8: EJOUJ5OY

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/EJOUJ5OYKUOEHRS27XTTYMUCOY \
  | 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: 225d44f5d8551c43c65afde73c32827638f0e468b12651fe0b9e0bd5e47bf8ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34fd1054458e904c1f3ed965366219589e0936a1bbce6f00f797f3a4208c8587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-25T02:52:50Z",
    "title_canon_sha256": "6793183f35fe82415cfbb930447a899b20f14a00fe12a1a6b2c4859277f579d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5093",
    "kind": "arxiv",
    "version": 2
  }
}