Pith Number

pith:NSSVRE7K

pith:2000:NSSVRE7KQE4C5MTJWZVVYPNXXK

not attested not anchored not stored refs pending

2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry

E. Faizi, H. Panahi-Talemi, M.A.Jafarizadeh

arxiv:math-ph/0005019 v1 · 2000-05-16 · 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{NSSVRE7KQE4C5MTJWZVVYPNXXK}

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	2026-05-18T01:38:34.688082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ca55893ea81382eb269b66b5c3db7baa0e47873ac14a0f26a2526e161544b81

Aliases

arxiv: math-ph/0005019 · arxiv_version: math-ph/0005019v1 · doi: 10.48550/arxiv.math-ph/0005019 · pith_short_12: NSSVRE7KQE4C · pith_short_16: NSSVRE7KQE4C5MTJ · pith_short_8: NSSVRE7K

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/NSSVRE7KQE4C5MTJWZVVYPNXXK \
  | 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: 6ca55893ea81382eb269b66b5c3db7baa0e47873ac14a0f26a2526e161544b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf3c56d45cdda4998efe65f222a9a9c02e8be6913e69417773b017f25f905fac",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-05-16T09:26:14Z",
    "title_canon_sha256": "15daf7bf73ecb40ba8b2eda1c0e21d709d1a3a069718233c168c7de0a979a774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0005019",
    "kind": "arxiv",
    "version": 1
  }
}