Pith Number

pith:YCTO5HHM

pith:2018:YCTO5HHMO33HOFYYK6F4U3UWVV

not attested not anchored not stored refs pending

Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and $L^p$-boundedness of wave operators

Alessandro Michelangeli, Horia D. Cornean, Kenji Yajima

arxiv:1804.01297 v1 · 2018-04-04 · 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{YCTO5HHMO33HOFYYK6F4U3UWVV}

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	2026-05-18T00:01:15.063403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a6ee9cec76f6771718578bca6e96ad4b93533aae2b96bb79c3022479c216bb

Aliases

arxiv: 1804.01297 · arxiv_version: 1804.01297v1 · doi: 10.48550/arxiv.1804.01297 · pith_short_12: YCTO5HHMO33H · pith_short_16: YCTO5HHMO33HOFYY · pith_short_8: YCTO5HHM

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/YCTO5HHMO33HOFYYK6F4U3UWVV \
  | 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: c0a6ee9cec76f6771718578bca6e96ad4b93533aae2b96bb79c3022479c216bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d56bd7a294b8a683f86d647cbe31341b41a5d35ef5e116e2c0979849b183716",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-04-04T08:38:48Z",
    "title_canon_sha256": "3108d2b488d20d60c6c58cd905f8f4db47d121e1b37b766b85528c7298badb84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01297",
    "kind": "arxiv",
    "version": 1
  }
}