Pith Number

pith:P52BZNL7

pith:2000:P52BZNL7VMA6DI4TLKX4RQLZQF

not attested not anchored not stored refs pending

Quantum anharmonic oscillator and quasi-exactly solvable Bose systems

O. B. Zaslavskii, S. N. Dolya

arxiv:quant-ph/0009071 v1 · 2000-09-18 · quant-ph · hep-ph · hep-th · math-ph · math.MP · nlin.SI · physics.comp-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{P52BZNL7VMA6DI4TLKX4RQLZQF}

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	2026-05-18T02:35:07.069975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f741cb57fab01e1a3935aafc8c17981485aa6c60f2a2ccc5cffca266a5cfdc6

Aliases

arxiv: quant-ph/0009071 · arxiv_version: quant-ph/0009071v1 · doi: 10.48550/arxiv.quant-ph/0009071 · pith_short_12: P52BZNL7VMA6 · pith_short_16: P52BZNL7VMA6DI4T · pith_short_8: P52BZNL7

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/P52BZNL7VMA6DI4TLKX4RQLZQF \
  | 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: 7f741cb57fab01e1a3935aafc8c17981485aa6c60f2a2ccc5cffca266a5cfdc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f52a30a8066031a6fac63c995a9afd99fb4b5891937519a4e8108ecea7e8f0",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI",
      "physics.comp-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-09-18T11:38:29Z",
    "title_canon_sha256": "c85dd117f490d131bd8999c151fa1fe1683586a5f433d6188dc2f63fbf5f3eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0009071",
    "kind": "arxiv",
    "version": 1
  }
}