Pith Number

pith:SMLKZTYT

pith:2016:SMLKZTYT6Y6KVXOPZPHH6KXUQO

not attested not anchored not stored refs pending

Spectral analysis of non-local Schr\"odinger operators

B. Vainberg, S. Molchanov, Yu. Kondratiev

arxiv:1603.01626 v2 · 2016-03-04 · 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{SMLKZTYT6Y6KVXOPZPHH6KXUQO}

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	2026-05-18T00:50:57.330801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9316accf13f63caaddcfcbce7f2af483b099a94b997f4cb61ace8e553e52106c

Aliases

arxiv: 1603.01626 · arxiv_version: 1603.01626v2 · doi: 10.48550/arxiv.1603.01626 · pith_short_12: SMLKZTYT6Y6K · pith_short_16: SMLKZTYT6Y6KVXOP · pith_short_8: SMLKZTYT

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/SMLKZTYT6Y6KVXOPZPHH6KXUQO \
  | 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: 9316accf13f63caaddcfcbce7f2af483b099a94b997f4cb61ace8e553e52106c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2a0f6fc7017c8d542c18379001d8a0bd665a0c2c07c116aca9a34e5f3cbfd9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-03-04T21:07:28Z",
    "title_canon_sha256": "95cf23ca2d3348d17d5e7906e04d6b875b7735fc9bfa35838e5d401c5ff9c9fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01626",
    "kind": "arxiv",
    "version": 2
  }
}