Pith Number

pith:N7IHGTAB

pith:2018:N7IHGTABIV2ANO6LFYILNPKQPJ

not attested not anchored not stored refs pending

A note on the Schr\"odinger operator with a long-range potential

D. R. Yafaev

arxiv:1810.03112 v1 · 2018-10-07 · math.SP · math-ph · math.CA · math.FA · 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{N7IHGTABIV2ANO6LFYILNPKQPJ}

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	2026-05-18T00:03:54.488017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd0734c01457406bbcb2e10b6bd507a5de6db25cd5a6aeabc3898b7bcdf8302

Aliases

arxiv: 1810.03112 · arxiv_version: 1810.03112v1 · doi: 10.48550/arxiv.1810.03112 · pith_short_12: N7IHGTABIV2A · pith_short_16: N7IHGTABIV2ANO6L · pith_short_8: N7IHGTAB

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/N7IHGTABIV2ANO6LFYILNPKQPJ \
  | 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: 6fd0734c01457406bbcb2e10b6bd507a5de6db25cd5a6aeabc3898b7bcdf8302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce0119f0b929c3a20b6b4273b128cdd2335e5692cc31993ff7dea2081200b0a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-10-07T09:16:16Z",
    "title_canon_sha256": "3f9bb9edc95dc88b1b5aa18843c3835511036498a4affbdcb0f7df4b300ebc5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03112",
    "kind": "arxiv",
    "version": 1
  }
}