Pith Number

pith:WLSCNYM4

pith:2011:WLSCNYM4MVRLG6CMALXN6TGXMS

not attested not anchored not stored refs pending

On certain sum rules for the hydrogen atom

Francisco M. Fern\'andez

arxiv:1102.4114 v1 · 2011-02-21 · 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{WLSCNYM4MVRLG6CMALXN6TGXMS}

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	2026-05-18T04:28:18.983386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e426e19c6562b3784c02eedf4cd764b913e13e0b760e5fb1401ea255289245

Aliases

arxiv: 1102.4114 · arxiv_version: 1102.4114v1 · doi: 10.48550/arxiv.1102.4114 · pith_short_12: WLSCNYM4MVRL · pith_short_16: WLSCNYM4MVRLG6CM · pith_short_8: WLSCNYM4

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/WLSCNYM4MVRLG6CMALXN6TGXMS \
  | 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: b2e426e19c6562b3784c02eedf4cd764b913e13e0b760e5fb1401ea255289245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b33eb7243d5cf8c0f32a6c0bf90c172991f2415eebb79babdd997db448fca652",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-21T01:32:08Z",
    "title_canon_sha256": "5d9621bdfaa1e162e48059a31fd7747385487df5c175699e45c2350fc385d13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4114",
    "kind": "arxiv",
    "version": 1
  }
}