Pith Number

pith:QNPOWKB7

pith:2017:QNPOWKB7ZYPAXBD663WF4WHIUT

not attested not anchored not stored refs pending

Lifshitz tails for Schr\"odinger operators with random breather potential

Christoph Schumacher, Ivan Veselic

arxiv:1711.07318 v1 · 2017-11-20 · 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{QNPOWKB7ZYPAXBD663WF4WHIUT}

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	2026-05-18T00:04:39.831484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

835eeb283fce1e0b847ef6ec5e58e8a4e06837ad52e669d6c85fb35437eb07ef

Aliases

arxiv: 1711.07318 · arxiv_version: 1711.07318v1 · doi: 10.48550/arxiv.1711.07318 · pith_short_12: QNPOWKB7ZYPA · pith_short_16: QNPOWKB7ZYPAXBD6 · pith_short_8: QNPOWKB7

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/QNPOWKB7ZYPAXBD663WF4WHIUT \
  | 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: 835eeb283fce1e0b847ef6ec5e58e8a4e06837ad52e669d6c85fb35437eb07ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d302856a6ec4681f7fd8a217383e40176698a7188c2f41379f1359e435ff7c2e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-20T14:29:58Z",
    "title_canon_sha256": "4777c8bfc1a5bfa5ebad368f6925e44718c97a9572ac13e7e1ebdaa8ed2f861a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07318",
    "kind": "arxiv",
    "version": 1
  }
}