Pith Number

pith:PMV76WAQ

pith:2019:PMV76WAQUVJNNDISLJQDOJLOST

not attested not anchored not stored refs pending

On fractional multi-singular Schr\"odinger operators: positivity and localization of binding

Debangana Mukherjee, Roberto Ognibene, Veronica Felli

arxiv:1905.05534 v1 · 2019-05-14 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMV76WAQUVJNNDISLJQDOJLOST}

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	2026-05-17T23:46:16.214571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2bff5810a552d68d125a6037256e94e1a07e6da2c45399940e6de1773ab12e

Aliases

arxiv: 1905.05534 · arxiv_version: 1905.05534v1 · doi: 10.48550/arxiv.1905.05534 · pith_short_12: PMV76WAQUVJN · pith_short_16: PMV76WAQUVJNNDIS · pith_short_8: PMV76WAQ

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/PMV76WAQUVJNNDISLJQDOJLOST \
  | 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: 7b2bff5810a552d68d125a6037256e94e1a07e6da2c45399940e6de1773ab12e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467c05ea0e481cc3eba36762f50ba233f427904c1cb279f1720d87e945def52a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-14T12:02:23Z",
    "title_canon_sha256": "6c1da6d46410c9939787586eab935997578ca9d7f7cfe7f87c3fb88dc61e3164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05534",
    "kind": "arxiv",
    "version": 1
  }
}