Pith Number

pith:TDGGXSPA

pith:2014:TDGGXSPAQZTKXFTJG6AGJUWTD3

not attested not anchored not stored refs pending

Boundary singularities of solutions of semilinear elliptic equations with critical Hardy potentials

Konstantinos T. Gkikas, Laurent Veron

arxiv:1410.1176 v2 · 2014-10-05 · 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{TDGGXSPAQZTKXFTJG6AGJUWTD3}

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	2026-05-18T02:39:18.716350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98cc6bc9e08666ab9669378064d2d31ed958c1a3d2b0d9f9d942c54377b2c7cc

Aliases

arxiv: 1410.1176 · arxiv_version: 1410.1176v2 · doi: 10.48550/arxiv.1410.1176 · pith_short_12: TDGGXSPAQZTK · pith_short_16: TDGGXSPAQZTKXFTJ · pith_short_8: TDGGXSPA

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/TDGGXSPAQZTKXFTJG6AGJUWTD3 \
  | 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: 98cc6bc9e08666ab9669378064d2d31ed958c1a3d2b0d9f9d942c54377b2c7cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69dcdf62a35f0b016d8a4a98a3986d8cdb07349a1b5078617f93b6ed2a1ae2b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-05T17:04:46Z",
    "title_canon_sha256": "b981233a94dd3675d2feb70f776632fe651b8ee630680194f7770f3281d9c59f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1176",
    "kind": "arxiv",
    "version": 2
  }
}