Pith Number

pith:PK5FKQDB

pith:2026:PK5FKQDBF7ACPLLEJZUZ4E6TUS

not attested not anchored not stored refs pending

Nonlocal problem for Laplace equation in Bochner spaces

Bilal Bilalov, Lubomira Softova, Pia Salerno, Sabina Sadigova

arxiv:2605.25761 v1 · 2026-05-25 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK5FKQDBF7ACPLLEJZUZ4E6TUS}

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	2026-05-26T02:04:53.610528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aba5540612fc027ad644e699e13d3a493f683cdc9f88d5387422deb7acf4ef7

Aliases

arxiv: 2605.25761 · arxiv_version: 2605.25761v1 · doi: 10.48550/arxiv.2605.25761 · pith_short_12: PK5FKQDBF7AC · pith_short_16: PK5FKQDBF7ACPLLE · pith_short_8: PK5FKQDB

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/PK5FKQDBF7ACPLLEJZUZ4E6TUS \
  | 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: 7aba5540612fc027ad644e699e13d3a493f683cdc9f88d5387422deb7acf4ef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925ba13c776b6148ed80346bc1cbd9453aa9a2f287e24211bf9c5ab20650e39c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-25T12:15:02Z",
    "title_canon_sha256": "161e4ebc3089890f46f033b32aad3fe76204d2b2a8b49da2a725e358dfbaa654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25761",
    "kind": "arxiv",
    "version": 1
  }
}