Pith Number

pith:OIBTLUUK

pith:2011:OIBTLUUKUYNSPRKW7STL6GE3FY

not attested not anchored not stored refs pending

Asymptotics of spectral quantities of Schr\"odinger operators

B. Schaad, P. Topalov, T. Kappeler

arxiv:1107.4542 v1 · 2011-07-22 · math.SP · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIBTLUUKUYNSPRKW7STL6GE3FY}

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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	2026-05-18T04:17:03.824837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

720335d28aa61b27c556fca6bf189b2e07ac85f83e79f01cc9bba54d12377209

Aliases

arxiv: 1107.4542 · arxiv_version: 1107.4542v1 · doi: 10.48550/arxiv.1107.4542 · pith_short_12: OIBTLUUKUYNS · pith_short_16: OIBTLUUKUYNSPRKW · pith_short_8: OIBTLUUK

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/OIBTLUUKUYNSPRKW7STL6GE3FY \
  | 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: 720335d28aa61b27c556fca6bf189b2e07ac85f83e79f01cc9bba54d12377209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0adcdb072f41dbfc53923aad7c52e6ec5e1b433df380663dbb3330435b5fae2a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-07-22T15:29:18Z",
    "title_canon_sha256": "bf254d5a6649950511562ba314d2fb48cc2afe9b076cafa7e12b163b3514b1e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4542",
    "kind": "arxiv",
    "version": 1
  }
}