Pith Number

pith:6PL4OPIX

pith:2025:6PL4OPIXORCFSFC2HJ3ACPIRB5

not attested not anchored not stored refs pending

Commuting self-adjoint extensions of the partial differential operators on disconnected sets

Dorin Ervin Dutkay, Piyali Chakraborty

arxiv:2506.23720 v2 · 2025-06-30 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PL4OPIXORCFSFC2HJ3ACPIRB5}

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	2026-06-25T01:17:45.221528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d7c73d17744459145a3a76013d110f5b3d9d9a2aa0bfbe1188dd3a06e35146

Aliases

arxiv: 2506.23720 · arxiv_version: 2506.23720v2 · doi: 10.48550/arxiv.2506.23720 · pith_short_12: 6PL4OPIXORCF · pith_short_16: 6PL4OPIXORCFSFC2 · pith_short_8: 6PL4OPIX

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/6PL4OPIXORCFSFC2HJ3ACPIRB5 \
  | 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: f3d7c73d17744459145a3a76013d110f5b3d9d9a2aa0bfbe1188dd3a06e35146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3c70e1ffd1f9186a7e9dd5f8d3f3c50e6476e7ee962a6271a1321876d6380f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-30T10:49:51Z",
    "title_canon_sha256": "04c1179c087ebb35abe5c204ed26e7018867858d373b7a034a28bff39092e820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23720",
    "kind": "arxiv",
    "version": 2
  }
}