Pith Number

pith:ZIGDB7RU

pith:2015:ZIGDB7RUFSFR6V2XU7B2GB7U26

not attested not anchored not stored refs pending

Approximations of spectra of Schr\"odinger operators with complex potentials on $\mathbb{R}^d$

Christiane Tretter, Petr Siegl, Sabine B\"ogli

arxiv:1512.01826 v1 · 2015-12-06 · math.SP · math-ph · math.AP · math.FA · 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{ZIGDB7RUFSFR6V2XU7B2GB7U26}

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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	2026-05-18T01:25:10.253468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0c30fe342c8b1f5757a7c3a307f4d7821f7be8f1c836f4bcc48bec3fb0b65b

Aliases

arxiv: 1512.01826 · arxiv_version: 1512.01826v1 · doi: 10.48550/arxiv.1512.01826 · pith_short_12: ZIGDB7RUFSFR · pith_short_16: ZIGDB7RUFSFR6V2X · pith_short_8: ZIGDB7RU

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/ZIGDB7RUFSFR6V2XU7B2GB7U26 \
  | 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: ca0c30fe342c8b1f5757a7c3a307f4d7821f7be8f1c836f4bcc48bec3fb0b65b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e416791133eedb5707b2bc36bf9652ee364196fe0713947e10784260fa67047",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-06T20:00:45Z",
    "title_canon_sha256": "20f46f32aad98674ac0b6cd9f396863b464a878a18ccb3484a20334cd1e52a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01826",
    "kind": "arxiv",
    "version": 1
  }
}