Pith Number

pith:H7Z373WP

pith:2016:H7Z373WPUV7LN34GXSCRXMFDXG

not attested not anchored not stored refs pending

On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators

Hongjie Dong, Seick Kim

arxiv:1607.04361 v3 · 2016-07-15 · 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{H7Z373WPUV7LN34GXSCRXMFDXG}

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	2026-05-18T00:33:02.409153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ff3bfeecfa57eb6ef86bc851bb0a3b98a6e462d2789fad7d1cd745462d16690

Aliases

arxiv: 1607.04361 · arxiv_version: 1607.04361v3 · doi: 10.48550/arxiv.1607.04361 · pith_short_12: H7Z373WPUV7L · pith_short_16: H7Z373WPUV7LN34G · pith_short_8: H7Z373WP

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/H7Z373WPUV7LN34GXSCRXMFDXG \
  | 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: 3ff3bfeecfa57eb6ef86bc851bb0a3b98a6e462d2789fad7d1cd745462d16690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0b067fd364de0e6116c8ddae7236d1a7fd06facc4bc064f7d6fadee0bf6c8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-15T01:55:10Z",
    "title_canon_sha256": "f1bc2269a9bd136624443629c9b8d986a10aae58814e33d9a5f167ec28e5e424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04361",
    "kind": "arxiv",
    "version": 3
  }
}