Pith Number

pith:UA4KANF3

pith:2025:UA4KANF327DD37RAWXQ3MUWDYU

not attested not anchored not stored refs pending

On the Excess Charge Problem of Atoms

Dirk Hundertmark, Marvin Raimund Schulz, Nikolaos Pattakos

arxiv:2504.18487 v1 · 2025-04-25 · math-ph · math.FA · math.MP · math.SP · 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{UA4KANF327DD37RAWXQ3MUWDYU}

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	2026-07-05T10:54:08.426452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a038a034bbd7c63dfe20b5e1b652c3c50560a5e5de7006f110c0fddf23d5706a

Aliases

arxiv: 2504.18487 · arxiv_version: 2504.18487v1 · doi: 10.48550/arxiv.2504.18487 · pith_short_12: UA4KANF327DD · pith_short_16: UA4KANF327DD37RA · pith_short_8: UA4KANF3

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/UA4KANF327DD37RAWXQ3MUWDYU \
  | 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: a038a034bbd7c63dfe20b5e1b652c3c50560a5e5de7006f110c0fddf23d5706a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9978e7cbfe7724fe83a593fc7af0078c4884b1b5ba87f4c8f296bde590296ee4",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP",
      "physics.atom-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-04-25T16:54:13Z",
    "title_canon_sha256": "4253be98b370044bb50ddfff42b96ec17d7446657054b38721f5828968bee27d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.18487",
    "kind": "arxiv",
    "version": 1
  }
}