Pith Number

pith:QL3IAKOM

pith:2019:QL3IAKOMXW5AVO6EEAFBIG6SZX

not attested not anchored not stored refs pending

Spectral theory for one-body Stark operators

E. Skibsted, K. Itakura, K. Ito, T. Adachi

arxiv:1905.03982 v1 · 2019-05-10 · 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{QL3IAKOMXW5AVO6EEAFBIG6SZX}

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	2026-05-17T23:46:34.970204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82f68029ccbdba0abbc4200a141bd2cdffedd16b4b2a39476dbbf86380c9e4df

Aliases

arxiv: 1905.03982 · arxiv_version: 1905.03982v1 · doi: 10.48550/arxiv.1905.03982 · pith_short_12: QL3IAKOMXW5A · pith_short_16: QL3IAKOMXW5AVO6E · pith_short_8: QL3IAKOM

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/QL3IAKOMXW5AVO6EEAFBIG6SZX \
  | 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: 82f68029ccbdba0abbc4200a141bd2cdffedd16b4b2a39476dbbf86380c9e4df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97c85694a46149db1f9c06132686b1fad5827ac65f9ba2b50904b41aeecd0f9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-10T07:31:58Z",
    "title_canon_sha256": "b6e8f78c29cd391248d3c6700860d1995e9acdc5423090e4ba2555956ae02c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03982",
    "kind": "arxiv",
    "version": 1
  }
}