Pith Number

pith:MFJ5S7K3

pith:2016:MFJ5S7K3SPAVYHPOLCUKUTZMX2

not attested not anchored not stored refs pending

Poisson statistics for 1d Schr\"odinger operators with random decaying potentials

Fumihiko Nakano, Shinichi Kotani

arxiv:1605.02416 v2 · 2016-05-09 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFJ5S7K3SPAVYHPOLCUKUTZMX2}

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	2026-05-18T00:35:44.285924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6153d97d5b93c15c1dee58a8aa4f2cbeb29bdf6c94ad76daf75f3cf5d6d12d33

Aliases

arxiv: 1605.02416 · arxiv_version: 1605.02416v2 · doi: 10.48550/arxiv.1605.02416 · pith_short_12: MFJ5S7K3SPAV · pith_short_16: MFJ5S7K3SPAVYHPO · pith_short_8: MFJ5S7K3

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/MFJ5S7K3SPAVYHPOLCUKUTZMX2 \
  | 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: 6153d97d5b93c15c1dee58a8aa4f2cbeb29bdf6c94ad76daf75f3cf5d6d12d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c71fccad42ee329e339fd6c12684609c5dae2bdc9aa8747fdeff38271f39967",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-09T04:59:07Z",
    "title_canon_sha256": "2cf709337569e67a1dc4e338a8ed572a7c4a2012ac3969e26a29cbf58e0cf076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02416",
    "kind": "arxiv",
    "version": 2
  }
}