Pith Number

pith:XEJPNF6N

pith:2010:XEJPNF6NXDYJG5WJ2RD6NVHUOR

not attested not anchored not stored refs pending

Non-analyticity of the groud state energy of the Hamiltonian for Hydrogen atom in non-relativistic QED

Jean-Marie Barbaroux, Semjon Vugalter

arxiv:1006.0102 v1 · 2010-06-01 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEJPNF6NXDYJG5WJ2RD6NVHUOR}

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	2026-05-18T02:07:06.109798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b912f697cdb8f09376c9d447e6d4f4744ff926bd96f4b87625fe7bee8b34cdc7

Aliases

arxiv: 1006.0102 · arxiv_version: 1006.0102v1 · doi: 10.48550/arxiv.1006.0102 · pith_short_12: XEJPNF6NXDYJ · pith_short_16: XEJPNF6NXDYJG5WJ · pith_short_8: XEJPNF6N

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/XEJPNF6NXDYJG5WJ2RD6NVHUOR \
  | 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: b912f697cdb8f09376c9d447e6d4f4744ff926bd96f4b87625fe7bee8b34cdc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01ad689436ba7a20632bbcb1c556f7c26f9a7ae561055039402034f04abf0f8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-01T10:22:44Z",
    "title_canon_sha256": "3d9af0a8d26ff19d4996ecccb1fbe0850b479e729ad6fb6f72c797143bef0096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0102",
    "kind": "arxiv",
    "version": 1
  }
}