Pith Number

pith:VAVSCSM3

pith:2016:VAVSCSM3D3MDQHSGQ5XNLTRVFX

not attested not anchored not stored refs pending

Nonlocal Schrodinger Equations for Integro-Differential Operators with Measurable Kernels and Asymptotic Potentials

Marco A. S. Souto, Ronaldo C. Duarte

arxiv:1612.05696 v1 · 2016-12-17 · 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{VAVSCSM3D3MDQHSGQ5XNLTRVFX}

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	2026-05-18T00:54:46.941973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82b21499b1ed8381e46876ed5ce352dc603ba63c68460122794666b2bd12084

Aliases

arxiv: 1612.05696 · arxiv_version: 1612.05696v1 · doi: 10.48550/arxiv.1612.05696 · pith_short_12: VAVSCSM3D3MD · pith_short_16: VAVSCSM3D3MDQHSG · pith_short_8: VAVSCSM3

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/VAVSCSM3D3MDQHSGQ5XNLTRVFX \
  | 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: a82b21499b1ed8381e46876ed5ce352dc603ba63c68460122794666b2bd12084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d1a3a6c36cf4581e14ca8ed4f33d824496ec3428d07de5bbf23f0c7acd43d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-17T03:10:25Z",
    "title_canon_sha256": "1c1f9c64d8c6fcc7c9f1f72e9ea67c809a4d55b8b47889aea23fc64e9872f11b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05696",
    "kind": "arxiv",
    "version": 1
  }
}