Pith. sign in
Pith Number

pith:KCQ3ZTPT

pith:2022:KCQ3ZTPTIG4S75GEGDSSIQHUKS
not attested not anchored not stored refs pending

Hydrogen-like Schr\"odinger Operators at Low Energies

Ethan Sussman

arxiv:2204.08355 v4 · 2022-04-18 · math.AP · math-ph · math.CA · math.DG · math.MP · math.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KCQ3ZTPTIG4S75GEGDSSIQHUKS}

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 2026-07-05T10:14:21.423716Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

50a1bccdf341b92ff4c430e52440f454ba92949f7098001fd8d1709edf19cc6e

Aliases

arxiv: 2204.08355 · arxiv_version: 2204.08355v4 · doi: 10.48550/arxiv.2204.08355 · pith_short_12: KCQ3ZTPTIG4S · pith_short_16: KCQ3ZTPTIG4S75GE · pith_short_8: KCQ3ZTPT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KCQ3ZTPTIG4S75GEGDSSIQHUKS \
  | 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: 50a1bccdf341b92ff4c430e52440f454ba92949f7098001fd8d1709edf19cc6e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3bf3c090ae79d8db0b7e3cfa7c34d18a9819554e333b454eade7a6637b288d6a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-18T14:54:54Z",
    "title_canon_sha256": "75fb1387dd7a3656ad285b16912cf04592ec6fbe013954e126a5f0fc0469a525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.08355",
    "kind": "arxiv",
    "version": 4
  }
}