Pith Number

pith:KRUXCNFI

pith:1997:KRUXCNFIOMJL2CDSGV5EOIQMHO

not attested not anchored not stored refs pending

Anti-isospectral Transformations, Orthogonal Polynomials and Quasi-Exactly Solvable Problems

Avinash Khare, Bhabani Prasad Mandal

arxiv:quant-ph/9711001 v1 · 1997-11-01 · 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{KRUXCNFIOMJL2CDSGV5EOIQMHO}

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	2026-05-18T01:37:53.030988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54697134a87312bd0872357a47220c3bac4b86f76f679aac4fe903e5dc8fc0c3

Aliases

arxiv: quant-ph/9711001 · arxiv_version: quant-ph/9711001v1 · doi: 10.48550/arxiv.quant-ph/9711001 · pith_short_12: KRUXCNFIOMJL · pith_short_16: KRUXCNFIOMJL2CDS · pith_short_8: KRUXCNFI

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/KRUXCNFIOMJL2CDSGV5EOIQMHO \
  | 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: 54697134a87312bd0872357a47220c3bac4b86f76f679aac4fe903e5dc8fc0c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72187d94749a04e56bf741e196bf9e3c618a3f8c354208e149aff2d3a5bc6678",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-11-01T07:37:00Z",
    "title_canon_sha256": "60f6305a874e27c1c463b4ca3d9c907c6b6a3de71d6ea0782a27720d430f4094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9711001",
    "kind": "arxiv",
    "version": 1
  }
}