Pith Number

pith:UYX6DGUJ

pith:2012:UYX6DGUJB7W7EUO7AJZ4WZMPEF

not attested not anchored not stored refs pending

On the physics of the $so_q(4)$ hydrogen atom

P. G. Castro, R. Kullock

arxiv:1211.6578 v3 · 2012-11-28 · quant-ph · 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{UYX6DGUJB7W7EUO7AJZ4WZMPEF}

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	2026-05-18T01:24:33.508788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a62fe19a890fedf251df0273cb658f217c5ab1f8575b7e1c7120f26733b36ea7

Aliases

arxiv: 1211.6578 · arxiv_version: 1211.6578v3 · doi: 10.48550/arxiv.1211.6578 · pith_short_12: UYX6DGUJB7W7 · pith_short_16: UYX6DGUJB7W7EUO7 · pith_short_8: UYX6DGUJ

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/UYX6DGUJB7W7EUO7AJZ4WZMPEF \
  | 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: a62fe19a890fedf251df0273cb658f217c5ab1f8575b7e1c7120f26733b36ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc10940cdaa5c9aaf7a53225cbc7dfb0c8a2cd2a468b72db903e0d3fd41a7c4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-28T11:30:59Z",
    "title_canon_sha256": "9f6a723963437bdd33e28e19adcf68b92af81c00a24c8c031fb7869acd6a1ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6578",
    "kind": "arxiv",
    "version": 3
  }
}