Pith Number

pith:6EMDSJNX

pith:2012:6EMDSJNXXFDFJPHSGQP6FJRT7Q

not attested not anchored not stored refs pending

Nonlocal Hardy type inequalities with optimal constants and remainder terms

Jean Van Schaftingen, Vitaly Moroz

arxiv:1208.6447 v1 · 2012-08-31 · 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{6EMDSJNXXFDFJPHSGQP6FJRT7Q}

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	2026-05-18T03:27:32.692595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1183925b7b94654bcf2341fe2a633fc2fb688d976928d380d914b94c7839735

Aliases

arxiv: 1208.6447 · arxiv_version: 1208.6447v1 · doi: 10.48550/arxiv.1208.6447 · pith_short_12: 6EMDSJNXXFDF · pith_short_16: 6EMDSJNXXFDFJPHS · pith_short_8: 6EMDSJNX

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/6EMDSJNXXFDFJPHSGQP6FJRT7Q \
  | 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: f1183925b7b94654bcf2341fe2a633fc2fb688d976928d380d914b94c7839735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d52fd50cb88611cded7a6c4adf19c08d1557e58900ef337d4cc0060b17e2fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-31T10:08:52Z",
    "title_canon_sha256": "d38f293967f1949c99d48d7006bc5ddcb6a31a94d0b44e412226f5122e1dfe0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6447",
    "kind": "arxiv",
    "version": 1
  }
}