Pith Number

pith:4YKZIOAK

pith:2025:4YKZIOAKCXO76IYF4OOVIGRTQK

not attested not anchored not stored refs pending

Second Quantization for the Kepler Problem

John C. Baez

arxiv:2507.11428 v5 · 2025-07-15 · 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{4YKZIOAKCXO76IYF4OOVIGRTQK}

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.

Cited by

1 paper in Pith

Landau levels via Jordan superalgebras

Receipt and verification

First computed	2026-05-28T02:04:42.001764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61594380a15ddff2305e39d541a3382bcbb3962381cd70edb8a8143f659d179

Aliases

arxiv: 2507.11428 · arxiv_version: 2507.11428v5 · doi: 10.48550/arxiv.2507.11428 · pith_short_12: 4YKZIOAKCXO7 · pith_short_16: 4YKZIOAKCXO76IYF · pith_short_8: 4YKZIOAK

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/4YKZIOAKCXO76IYF4OOVIGRTQK \
  | 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: e61594380a15ddff2305e39d541a3382bcbb3962381cd70edb8a8143f659d179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b93260af3f188db6c7aa8c4435b7758788a7fda6402cb0b508d3f33a8a073e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-15T15:51:54Z",
    "title_canon_sha256": "22ea8ae3535aa60543e5ad40e576dade4299520e109a575bdc2cfdc8b97f6520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11428",
    "kind": "arxiv",
    "version": 5
  }
}