Pith Number

pith:GAZCJSCS

pith:2026:GAZCJSCS6PNUXMAIOWHHCP4IT2

not attested not anchored not stored refs pending

Generic simplicity for self-adjoint operators under bounded potential perturbations

Bernard Helffer, Marianna Chatzakou

arxiv:2605.31368 v1 · 2026-05-29 · math.SP · 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{GAZCJSCS6PNUXMAIOWHHCP4IT2}

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	2026-06-01T02:04:01.308049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303224c852f3db4bb008758e713f889e876732ec9c9b86839393a1fe0ab351eb

Aliases

arxiv: 2605.31368 · arxiv_version: 2605.31368v1 · doi: 10.48550/arxiv.2605.31368 · pith_short_12: GAZCJSCS6PNU · pith_short_16: GAZCJSCS6PNUXMAI · pith_short_8: GAZCJSCS

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/GAZCJSCS6PNUXMAIOWHHCP4IT2 \
  | 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: 303224c852f3db4bb008758e713f889e876732ec9c9b86839393a1fe0ab351eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c98bf111250f91fe5e5a96318669c2acaa2e9a36254dbd845692a7387d4ea55",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-05-29T14:40:11Z",
    "title_canon_sha256": "082b3418fa9ba6129ae3d86069bc7e12a16f4b996274867ecd06b1967f32883d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31368",
    "kind": "arxiv",
    "version": 1
  }
}