Pith Number

pith:BKEW5OKR

pith:2026:BKEW5OKRP57PNDEENLSY54DOC4

not attested not anchored not stored refs pending

Isolated Singularities for Fractional Hartree Equations

Aleks Jevnikar, Guangze Gu, Zhipeng Yang

arxiv:2606.10990 v1 · 2026-06-09 · 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{BKEW5OKRP57PNDEENLSY54DOC4}

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	2026-06-10T01:11:02.311194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a896eb9517f7ef68c846ae58ef06e1734ea626970ab8e1ed9cb2fc3cee5ca03

Aliases

arxiv: 2606.10990 · arxiv_version: 2606.10990v1 · doi: 10.48550/arxiv.2606.10990 · pith_short_12: BKEW5OKRP57P · pith_short_16: BKEW5OKRP57PNDEE · pith_short_8: BKEW5OKR

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/BKEW5OKRP57PNDEENLSY54DOC4 \
  | 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: 0a896eb9517f7ef68c846ae58ef06e1734ea626970ab8e1ed9cb2fc3cee5ca03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f8b7ef1f69220a84260887262aae28aa58b3dfc9a17d13da4dbb9c84076f25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-09T15:26:56Z",
    "title_canon_sha256": "905e8fcf9361097ef5cc4b06c0bc22abfec53de64a8c502f208263a912109f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10990",
    "kind": "arxiv",
    "version": 1
  }
}