Pith Number

pith:FXX5KR5I

pith:2016:FXX5KR5IY7JMMHSIDXZIDRZLNO

not attested not anchored not stored refs pending

Schr\"odinger operators with random $\delta$ magnetic fields

Takuya Mine, Yuji Nomura

arxiv:1604.01573 v2 · 2016-04-06 · 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{FXX5KR5IY7JMMHSIDXZIDRZLNO}

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	2026-05-18T00:20:07.596286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2defd547a8c7d2c61e481df281c72b6bb015c10ef83d8b1dd4240a5dd07ff8fa

Aliases

arxiv: 1604.01573 · arxiv_version: 1604.01573v2 · doi: 10.48550/arxiv.1604.01573 · pith_short_12: FXX5KR5IY7JM · pith_short_16: FXX5KR5IY7JMMHSI · pith_short_8: FXX5KR5I

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/FXX5KR5IY7JMMHSIDXZIDRZLNO \
  | 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: 2defd547a8c7d2c61e481df281c72b6bb015c10ef83d8b1dd4240a5dd07ff8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822d3689aba877ea5c68833b6a324294661b8a69478eeb49f945c1ad4bfef113",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-06T10:54:46Z",
    "title_canon_sha256": "0863c3e7ec2808836a09f9fb0b892de59413be2b517fb153a8d113cbf8ac9ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01573",
    "kind": "arxiv",
    "version": 2
  }
}