Pith Number

pith:TFAL2Z6H

pith:2000:TFAL2Z6HY4TR4YVQC66V3FZDIW

not attested not anchored not stored refs pending

The partnership of potentials in Quantum Mechanics and Shape Invariance

Arturo Ramos, Jose F. Carinena

arxiv:math-ph/0006009 v1 · 2000-06-10 · math-ph · hep-th · math.MP · quant-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{TFAL2Z6HY4TR4YVQC66V3FZDIW}

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	2026-05-18T01:05:32.189095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9940bd67c7c7271e62b017bd5d97234598116fbed4f893d82fa57023e324c2b7

Aliases

arxiv: math-ph/0006009 · arxiv_version: math-ph/0006009v1 · doi: 10.48550/arxiv.math-ph/0006009 · pith_short_12: TFAL2Z6HY4TR · pith_short_16: TFAL2Z6HY4TR4YVQ · pith_short_8: TFAL2Z6H

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/TFAL2Z6HY4TR4YVQC66V3FZDIW \
  | 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: 9940bd67c7c7271e62b017bd5d97234598116fbed4f893d82fa57023e324c2b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0440c0553f6e775f9e91b6cb1b1862d0ec881b56c6dcadd1dcf4d739baa3d38",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-06-10T11:13:56Z",
    "title_canon_sha256": "115fbc76c54c8b7e3a6a5de0671678b94669fc5f958d2b183c9aa454ef3a2c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0006009",
    "kind": "arxiv",
    "version": 1
  }
}