Pith Number

pith:PLTY2ZYY

pith:2019:PLTY2ZYY7BP7CZB5N2DKGAPUER

not attested not anchored not stored refs pending

On the approximation by regular potentials of Schr\"odinger operators with point interactions

Artbazar Galtbayar, Kenji Yajima

arxiv:1908.02936 v1 · 2019-08-08 · 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{PLTY2ZYY7BP7CZB5N2DKGAPUER}

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	2026-07-04T23:52:25.097890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae78d6718f85ff1643d6e86a301f4245bbcd3fa41c29a7d374dfa4efaae69b3

Aliases

arxiv: 1908.02936 · arxiv_version: 1908.02936v1 · doi: 10.48550/arxiv.1908.02936 · pith_short_12: PLTY2ZYY7BP7 · pith_short_16: PLTY2ZYY7BP7CZB5 · pith_short_8: PLTY2ZYY

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/PLTY2ZYY7BP7CZB5N2DKGAPUER \
  | 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: 7ae78d6718f85ff1643d6e86a301f4245bbcd3fa41c29a7d374dfa4efaae69b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac77e777f1f173f814a3a31abd6df599fc4ef293351cd78554c294aff979abd5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-08T05:19:27Z",
    "title_canon_sha256": "2184d933d5e0d4bff146bd529338028f52eed0c533f405158110ecb32d77e8fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02936",
    "kind": "arxiv",
    "version": 1
  }
}