Pith Number

pith:YG74ZI33

pith:2019:YG74ZI33AWQM5LB4MIUBYZ4BE5

not attested not anchored not stored refs pending

WKB-approach for the 1D hydrogen atom

A.M. Ishkhanyan, V.P. Krainov

arxiv:1902.02189 v1 · 2019-02-05 · 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{YG74ZI33AWQM5LB4MIUBYZ4BE5}

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	2026-05-17T23:54:37.665545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1bfcca37b05a0ceac3c62281c67812755902558f45de401fce9fb7a15682956

Aliases

arxiv: 1902.02189 · arxiv_version: 1902.02189v1 · doi: 10.48550/arxiv.1902.02189 · pith_short_12: YG74ZI33AWQM · pith_short_16: YG74ZI33AWQM5LB4 · pith_short_8: YG74ZI33

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/YG74ZI33AWQM5LB4MIUBYZ4BE5 \
  | 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: c1bfcca37b05a0ceac3c62281c67812755902558f45de401fce9fb7a15682956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72cda90432acd5f3ae772539275b204dd17e08ebb927f39a289cc761a7b1c95c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-02-05T11:58:10Z",
    "title_canon_sha256": "c210ab41e6ea8a894e0f8dade3563cf3be57277e69cd4c1c47f3ae3ca0b54823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02189",
    "kind": "arxiv",
    "version": 1
  }
}