Pith Number

pith:4DOQZFBB

pith:2022:4DOQZFBBKAKBLLYH5Y45QG3I5V

not attested not anchored not stored refs pending

Factorization with a logarithmic energy spectrum of a central potential

2) ((1) Institut f\"ur Quantenphysik, (2) Hagler Institute, Engineering, Ferdinand Gleisberg (1), Germany, Institute for Quantum Studies, Texas A \& M University, Universit\"at Ulm, USA), Wolfgang P. Schleich (1

arxiv:2202.08092 v1 · 2022-02-16 · 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{4DOQZFBBKAKBLLYH5Y45QG3I5V}

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	2026-07-05T06:25:02.837414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0dd0c9421501415af07ee39d81b68ed7441b9397704dfd9df599dd9dd22ec6d

Aliases

arxiv: 2202.08092 · arxiv_version: 2202.08092v1 · doi: 10.48550/arxiv.2202.08092 · pith_short_12: 4DOQZFBBKAKB · pith_short_16: 4DOQZFBBKAKBLLYH · pith_short_8: 4DOQZFBB

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/4DOQZFBBKAKBLLYH5Y45QG3I5V \
  | 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: e0dd0c9421501415af07ee39d81b68ed7441b9397704dfd9df599dd9dd22ec6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d7ab4d64edbdeec7e3a1a1fda7a1417bc74132715f2eb8599b15f49d83f9da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-02-16T14:25:33Z",
    "title_canon_sha256": "4e64a3429f7b53234637b683024830a7a0b49a77566cbae069a04574381f6cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.08092",
    "kind": "arxiv",
    "version": 1
  }
}