Pith Number

pith:3RMWA4R3

pith:2019:3RMWA4R3HNANL4Q7LYMUBVKYME

not attested not anchored not stored refs pending

The $\dot W^{-1,p}$ Neumann problem for higher order elliptic equations

Ariel Barton

arxiv:1906.12234 v1 · 2019-06-28 · 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{3RMWA4R3HNANL4Q7LYMUBVKYME}

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	2026-05-17T23:41:58.922627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5960723b3b40d5f21f5e1940d558613ef30b5549fbff5626443a06268528d7

Aliases

arxiv: 1906.12234 · arxiv_version: 1906.12234v1 · doi: 10.48550/arxiv.1906.12234 · pith_short_12: 3RMWA4R3HNAN · pith_short_16: 3RMWA4R3HNANL4Q7 · pith_short_8: 3RMWA4R3

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/3RMWA4R3HNANL4Q7LYMUBVKYME \
  | 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: dc5960723b3b40d5f21f5e1940d558613ef30b5549fbff5626443a06268528d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b458dea5d9542497f780579ad0f178f5976a927a5a2be3c433b017ac5ae2ed91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-28T14:14:30Z",
    "title_canon_sha256": "7db86d5aef0bc0137cb4df30b79b59996555a728c8b2e5758bb826fb28a4bd2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.12234",
    "kind": "arxiv",
    "version": 1
  }
}