Pith Number

pith:WCLJP7CU

pith:2025:WCLJP7CUCTLQFHIMMKEAVUBT2X

not attested not anchored not stored refs pending

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schr\"odinger operators

Antonio Arnal, Jussi Behrndt, Markus Holzmann, Petr Siegl

arxiv:2505.22321 v1 · 2025-05-28 · math.SP · 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{WCLJP7CUCTLQFHIMMKEAVUBT2X}

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	2026-07-05T11:11:13.319320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b09697fc5414d7029d0c62880ad033d5caadc627cfc800935a03abd911dbc9f6

Aliases

arxiv: 2505.22321 · arxiv_version: 2505.22321v1 · doi: 10.48550/arxiv.2505.22321 · pith_short_12: WCLJP7CUCTLQ · pith_short_16: WCLJP7CUCTLQFHIM · pith_short_8: WCLJP7CU

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/WCLJP7CUCTLQFHIMMKEAVUBT2X \
  | 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: b09697fc5414d7029d0c62880ad033d5caadc627cfc800935a03abd911dbc9f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0801e80f79e246522f1d66dcd65e618d4b6d5f5731451ee3ffa238800ee68d9c",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-05-28T13:05:28Z",
    "title_canon_sha256": "e74225487e6ccbbdd4bd835c2f1eb77cd5d3f2e50b1622a3d344f0cecf410086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22321",
    "kind": "arxiv",
    "version": 1
  }
}