Pith Number

pith:OKX7MWVU

pith:2025:OKX7MWVUY5AEOWUFETM6SWET2O

not attested not anchored not stored refs pending

Classification and Reduction of Homogeneous Star Products

Chiara Esposito, Jonas Schnitzer, Marvin Dippell

arxiv:2507.02820 v1 · 2025-07-03 · math.QA · math-ph · math.DG · 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{OKX7MWVUY5AEOWUFETM6SWET2O}

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	2026-07-05T11:31:35.021473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72aff65ab4c740475a8524d9e95893d39faf8d42cbdfe18e23724183ee79566b

Aliases

arxiv: 2507.02820 · arxiv_version: 2507.02820v1 · doi: 10.48550/arxiv.2507.02820 · pith_short_12: OKX7MWVUY5AE · pith_short_16: OKX7MWVUY5AEOWUF · pith_short_8: OKX7MWVU

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/OKX7MWVUY5AEOWUFETM6SWET2O \
  | 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: 72aff65ab4c740475a8524d9e95893d39faf8d42cbdfe18e23724183ee79566b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c38c877a2b1b7cdac415b382d7eb01ed7df080eafe66e7c21661c8672f5e20c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-07-03T17:33:40Z",
    "title_canon_sha256": "02509247ff458db0aec0372171aa16e7ba28deec37075eca0328e6a274e7b5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02820",
    "kind": "arxiv",
    "version": 1
  }
}