Pith Number

pith:SHUCQ5AF

pith:2016:SHUCQ5AFLPZUXH46KYEZYSSNHX

not attested not anchored not stored refs pending

The Wiener Test for the Removability of the Logarithmic Singularity for the Elliptic PDEs with Measurable Coefficients and Its Consequences

Ugur G. Abdulla

arxiv:1601.04184 v1 · 2016-01-16 · 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{SHUCQ5AFLPZUXH46KYEZYSSNHX}

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	2026-05-18T00:04:32.805718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91e82874055bf34b9f9e56099c4a4d3dd8307dccec7d5be2bbc8d0ff3052ed6a

Aliases

arxiv: 1601.04184 · arxiv_version: 1601.04184v1 · doi: 10.48550/arxiv.1601.04184 · pith_short_12: SHUCQ5AFLPZU · pith_short_16: SHUCQ5AFLPZUXH46 · pith_short_8: SHUCQ5AF

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/SHUCQ5AFLPZUXH46KYEZYSSNHX \
  | 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: 91e82874055bf34b9f9e56099c4a4d3dd8307dccec7d5be2bbc8d0ff3052ed6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a2e55830469be444407b276a991ddc35e9ef2c02fadb09d6a06136bc04be1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-16T17:26:00Z",
    "title_canon_sha256": "d31e0ab484e7a6a20206a9ee1b0a649be4caf4150fb315c2d85357f41951d4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04184",
    "kind": "arxiv",
    "version": 1
  }
}