Pith Number

pith:KSX7RD3I

pith:2009:KSX7RD3ITP7NM2TGHRFKTZB47A

not attested not anchored not stored refs pending

Self-adjoint extensions and spectral analysis in Calogero problem

B.L. Voronov, D.M. Gitman, I.V. Tyutin

arxiv:0903.5277 v1 · 2009-03-30 · quant-ph · hep-th · 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{KSX7RD3ITP7NM2TGHRFKTZB47A}

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.

Cited by

1 paper in Pith

The Inverse Cube Force Law

Receipt and verification

First computed	2026-05-18T02:14:08.816863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54aff88f689bfed66a663c4aa9e43cf835b8a26bb74d8676bd9ae4b17bddb419

Aliases

arxiv: 0903.5277 · arxiv_version: 0903.5277v1 · doi: 10.48550/arxiv.0903.5277 · pith_short_12: KSX7RD3ITP7N · pith_short_16: KSX7RD3ITP7NM2TG · pith_short_8: KSX7RD3I

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/KSX7RD3ITP7NM2TGHRFKTZB47A \
  | 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: 54aff88f689bfed66a663c4aa9e43cf835b8a26bb74d8676bd9ae4b17bddb419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a21c34ec4c56baabb12484378ecafdf88da072db9f2b3f6114d3e698622c28ee",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-03-30T18:16:58Z",
    "title_canon_sha256": "444fe192a00760e6fadae95edaf715fd7ae1e44fc9cd1ff44209b694ae9c68e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5277",
    "kind": "arxiv",
    "version": 1
  }
}