Pith Number

pith:ZPDYAZDA

pith:2004:ZPDYAZDAPNXKBEMC3LS3WDFFHK

not attested not anchored not stored refs pending

Shape Invariant Potentials in "Discrete Quantum Mechanics"

R. Sasaki, S. Odake

arxiv:hep-th/0410102 v1 · 2004-10-10 · hep-th · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPDYAZDAPNXKBEMC3LS3WDFFHK}

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	2026-05-18T01:38:46.056085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc78064607b6ea09182dae5bb0ca53a9cf931d5900098380f3665979a736e8c

Aliases

arxiv: hep-th/0410102 · arxiv_version: hep-th/0410102v1 · doi: 10.48550/arxiv.hep-th/0410102 · pith_short_12: ZPDYAZDAPNXK · pith_short_16: ZPDYAZDAPNXKBEMC · pith_short_8: ZPDYAZDA

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/ZPDYAZDAPNXKBEMC3LS3WDFFHK \
  | 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: cbc78064607b6ea09182dae5bb0ca53a9cf931d5900098380f3665979a736e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9273761338dddf8b23242c829e3f812b77e6bcf354ca0037ce159062dd9ec0da",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-10-10T07:57:33Z",
    "title_canon_sha256": "7b088e7bbee55d5cb66bcace71444037a6e50327a2efe9745cb09b9f9b03d226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0410102",
    "kind": "arxiv",
    "version": 1
  }
}