Pith Number

pith:TECRAO6C

pith:2026:TECRAO6CQ6K44VIX2MMCL4R6K6

not attested not anchored not stored refs pending

Essential self-adjointness of semi-bounded operators

M. Griesemer, V. Ku{\ss}maul

arxiv:2607.22472 v1 · 2026-07-24 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TECRAO6CQ6K44VIX2MMCL4R6K6}

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	2026-07-27T01:21:22.822652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9905103bc28795ce5517d31825f23e579c8a1671d3779b9f7fc3c886b9528c57

Aliases

arxiv: 2607.22472 · arxiv_version: 2607.22472v1 · doi: 10.48550/arxiv.2607.22472 · pith_short_12: TECRAO6CQ6K4 · pith_short_16: TECRAO6CQ6K44VIX · pith_short_8: TECRAO6C

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/TECRAO6CQ6K44VIX2MMCL4R6K6 \
  | 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: 9905103bc28795ce5517d31825f23e579c8a1671d3779b9f7fc3c886b9528c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65656ad5235ed829cea6e3fa69867a6b62550b20867c83e642af1b37aa2d4f94",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-24T16:40:12Z",
    "title_canon_sha256": "a8a71f0373c3d32768d81f0e8a0ceea3ed064d17440ca118bdbeaac67814eeb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22472",
    "kind": "arxiv",
    "version": 1
  }
}