Pith Number

pith:4CYYDTHU

pith:2012:4CYYDTHUVLRS35DTVGF7YAIQNF

not attested not anchored not stored refs pending

Harnack's inequality for fractional nonlocal equations

Chao Zhang, P. R. Stinga

arxiv:1203.1518 v2 · 2012-03-07 · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CYYDTHUVLRS35DTVGF7YAIQNF}

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	2026-05-18T03:53:17.237487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b181ccf4aae32df473a98bfc0110694d8db67266253428cc5ba4ff0043624e

Aliases

arxiv: 1203.1518 · arxiv_version: 1203.1518v2 · doi: 10.48550/arxiv.1203.1518 · pith_short_12: 4CYYDTHUVLRS · pith_short_16: 4CYYDTHUVLRS35DT · pith_short_8: 4CYYDTHU

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/4CYYDTHUVLRS35DTVGF7YAIQNF \
  | 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: e0b181ccf4aae32df473a98bfc0110694d8db67266253428cc5ba4ff0043624e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d324362def5a368de15d57ed602225a69c726d34fa8071a79bc63c0a7f375d8",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-07T16:14:21Z",
    "title_canon_sha256": "99bd901a593a1e0c177a38a9f754f0bd7f906f31b1ec06aedcd16f8a08848b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1518",
    "kind": "arxiv",
    "version": 2
  }
}