Pith Number

pith:B72TMGFR

pith:2011:B72TMGFR3P7XFV5FMT62F4KUO4

not attested not anchored not stored refs pending

On $L_p$-estimates for a class of non-local elliptic equations

Doyoon Kim, Hongjie Dong

arxiv:1102.4073 v3 · 2011-02-20 · math.AP · 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{B72TMGFR3P7XFV5FMT62F4KUO4}

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	2026-05-18T04:03:29.713379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff53618b1dbff72d7a564fda2f1547715b56aaf2d79368db0c664ecbb9c9968

Aliases

arxiv: 1102.4073 · arxiv_version: 1102.4073v3 · doi: 10.48550/arxiv.1102.4073 · pith_short_12: B72TMGFR3P7X · pith_short_16: B72TMGFR3P7XFV5F · pith_short_8: B72TMGFR

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/B72TMGFR3P7XFV5FMT62F4KUO4 \
  | 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: 0ff53618b1dbff72d7a564fda2f1547715b56aaf2d79368db0c664ecbb9c9968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15fd0f78a50a91cb91263167d244c039c83ae87b48362f5e98621058889190a8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-20T14:31:09Z",
    "title_canon_sha256": "e4a2e2ff92384ec90a662ea026c78cf30c92db701b8ac25656554fe813a544bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4073",
    "kind": "arxiv",
    "version": 3
  }
}