Pith Number

pith:T2D4WP2A

pith:2014:T2D4WP2AD4MGIWG53P73SFCDRK

not attested not anchored not stored refs pending

On $1/Z$ expansion, the critical charge for two-electron system and the Kato theorem

Alexander V. Turbiner, Juan Carlos Lopez Vieyra

arxiv:1405.5256 v3 · 2014-05-20 · quant-ph · physics.atom-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{T2D4WP2AD4MGIWG53P73SFCDRK}

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	2026-05-18T01:11:43.976654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e87cb3f401f186458dddbffb914438aba569f44777ea8a8d7515fda793db789

Aliases

arxiv: 1405.5256 · arxiv_version: 1405.5256v3 · doi: 10.48550/arxiv.1405.5256 · pith_short_12: T2D4WP2AD4MG · pith_short_16: T2D4WP2AD4MGIWG5 · pith_short_8: T2D4WP2A

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/T2D4WP2AD4MGIWG53P73SFCDRK \
  | 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: 9e87cb3f401f186458dddbffb914438aba569f44777ea8a8d7515fda793db789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5cdb3d55fe97d476f9e7bf09a17b9c992f79ba09a157a21284a04a14984bb2",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-05-20T22:46:35Z",
    "title_canon_sha256": "8d544c02e70149adaca771deacb6fc617830fe1ee26cc82b3f729fb6ec406500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5256",
    "kind": "arxiv",
    "version": 3
  }
}