Pith Number

pith:MUPYBVNB

pith:2019:MUPYBVNBGMEKDFI3YOIDJA3T6B

not attested not anchored not stored refs pending

2D Nondirect Product Discrete Variable Representation for Schr\"odinger Equation with Nonseparable Angular Variables

Sara Shadmehri, Shahpoor Saeidian, Vladimir S. Melezhik

arxiv:1909.01578 v2 · 2019-09-04 · physics.comp-ph · physics.atom-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUPYBVNBGMEKDFI3YOIDJA3T6B}

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	2026-07-05T00:29:39.901068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651f80d5a13308a1951bc390348373f067da34c5feb67e414f2b1f60b2de804b

Aliases

arxiv: 1909.01578 · arxiv_version: 1909.01578v2 · doi: 10.48550/arxiv.1909.01578 · pith_short_12: MUPYBVNBGMEK · pith_short_16: MUPYBVNBGMEKDFI3 · pith_short_8: MUPYBVNB

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/MUPYBVNBGMEKDFI3YOIDJA3T6B \
  | 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: 651f80d5a13308a1951bc390348373f067da34c5feb67e414f2b1f60b2de804b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202471b306ced718d004a3383c26ece5ea15fe297feb9c2a89938418e7f11afb",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2019-09-04T07:05:57Z",
    "title_canon_sha256": "5634cc6024b5a1144081c3cb8893e39e1557e32057adf80b098ef0478afd294f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.01578",
    "kind": "arxiv",
    "version": 2
  }
}