Pith Number

pith:QIGEPU5V

pith:2017:QIGEPU5VIW3VN2PYMNOUSEN3B2

not attested not anchored not stored refs pending

Resolvent expansion for the Schr\"odinger operator on a graph with infinite rays

Arne Jensen, Kenichi Ito

arxiv:1712.01592 v2 · 2017-12-05 · math.SP · 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{QIGEPU5VIW3VN2PYMNOUSEN3B2}

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	2026-05-18T00:18:31.215700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820c47d3b545b756e9f8635d4911bb0e9cbaf40771e55dfcf417c673e1c2ae73

Aliases

arxiv: 1712.01592 · arxiv_version: 1712.01592v2 · doi: 10.48550/arxiv.1712.01592 · pith_short_12: QIGEPU5VIW3V · pith_short_16: QIGEPU5VIW3VN2PY · pith_short_8: QIGEPU5V

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/QIGEPU5VIW3VN2PYMNOUSEN3B2 \
  | 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: 820c47d3b545b756e9f8635d4911bb0e9cbaf40771e55dfcf417c673e1c2ae73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eb8cefa885341fc87801e4e30d4f94c9d43b9bcab1d79fc84d44597bfcb2abf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-12-05T12:08:25Z",
    "title_canon_sha256": "e94da9b412fc7c5a28e4d06e8dc18e4bdc2da083e68f650618228a7440e9199d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01592",
    "kind": "arxiv",
    "version": 2
  }
}