Pith Number

pith:57AP7JII

pith:2016:57AP7JIIICUPR4QRHNWJTELKHV

not attested not anchored not stored refs pending

Schr\"odinger Operators with $\delta$-interactions in a Space of Vector-Valued Functions

Aleksey Kostenko, Daria Natiagailo, Mark Malamud

arxiv:1603.00594 v1 · 2016-03-02 · math.SP · math-ph · math.CA · 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{57AP7JIIICUPR4QRHNWJTELKHV}

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	2026-05-18T01:02:44.954395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efc0ffa50840a8f8f2113b6c99916a3d418c1f324e18eef72c7beefe204ac8fc

Aliases

arxiv: 1603.00594 · arxiv_version: 1603.00594v1 · doi: 10.48550/arxiv.1603.00594 · pith_short_12: 57AP7JIIICUP · pith_short_16: 57AP7JIIICUPR4QR · pith_short_8: 57AP7JII

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/57AP7JIIICUPR4QRHNWJTELKHV \
  | 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: efc0ffa50840a8f8f2113b6c99916a3d418c1f324e18eef72c7beefe204ac8fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b88068b5886d7ca56d5e7eb154e5a83159a317a557a0fb54f0a7f86f5cbcec",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-03-02T06:57:39Z",
    "title_canon_sha256": "50c08cd28810672ecff25d61721cc362e004fdd4b909a94b25afea662c84f236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00594",
    "kind": "arxiv",
    "version": 1
  }
}