Pith Number

pith:PTP63VRN

pith:2018:PTP63VRNSNNC4H2DTCZHQGAJIQ

not attested not anchored not stored refs pending

Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

Henrik Shahgholian, Marius Ghergu, Sunghan Kim

arxiv:1804.04287 v1 · 2018-04-12 · 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{PTP63VRNSNNC4H2DTCZHQGAJIQ}

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	2026-05-18T00:18:40.042000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdfedd62d935a2e1f4398b2781809440874361a00caba5037e3d205e768af73

Aliases

arxiv: 1804.04287 · arxiv_version: 1804.04287v1 · doi: 10.48550/arxiv.1804.04287 · pith_short_12: PTP63VRNSNNC · pith_short_16: PTP63VRNSNNC4H2D · pith_short_8: PTP63VRN

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/PTP63VRNSNNC4H2DTCZHQGAJIQ \
  | 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: 7cdfedd62d935a2e1f4398b2781809440874361a00caba5037e3d205e768af73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d2c0a3b4aff8c8ca0f8ec6b4d6e21bb5266ebd8ca8c49246614db7555f8700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-12T02:21:17Z",
    "title_canon_sha256": "df63dee056a061750dbb363e30f14b63917b9322fcec08ae849fae7f615aac3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04287",
    "kind": "arxiv",
    "version": 1
  }
}