Pith Number

pith:G6LCSI3I

pith:2011:G6LCSI3ITOPRVDDAL4SYGM7IDM

not attested not anchored not stored refs pending

Linear Response Theory for Random Schr\"odinger Operators and Noncommutative Integration

F. Germinet, N. Dombrowski

arxiv:1103.5498 v1 · 2011-03-28 · 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{G6LCSI3ITOPRVDDAL4SYGM7IDM}

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	2026-05-18T04:25:37.442490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37962923689b9f1a8c605f258333e81b046d1a1e6d4e17c6197b9e44c6f1e2cc

Aliases

arxiv: 1103.5498 · arxiv_version: 1103.5498v1 · doi: 10.48550/arxiv.1103.5498 · pith_short_12: G6LCSI3ITOPR · pith_short_16: G6LCSI3ITOPRVDDA · pith_short_8: G6LCSI3I

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/G6LCSI3ITOPRVDDAL4SYGM7IDM \
  | 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: 37962923689b9f1a8c605f258333e81b046d1a1e6d4e17c6197b9e44c6f1e2cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2366caddc14b940dedc4ea8f649a526334741440a1ce838b40ff682c003120fc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-28T21:59:52Z",
    "title_canon_sha256": "1ab00d8d79d76074bddca6ddc8b61e76f2ea006b7e10033b2daf904c086e8e60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5498",
    "kind": "arxiv",
    "version": 1
  }
}