Pith Number

pith:PRA76ZIH

pith:2025:PRA76ZIH22TK65ULAC4XD5K3BD

not attested not anchored not stored refs pending

Log-ozone groups and centers of polynomial Poisson algebras

James J. Zhang, Jason Gaddis, Kenneth Chan, Robert Won

arxiv:2507.06940 v1 · 2025-07-09 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRA76ZIH22TK65ULAC4XD5K3BD}

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	2026-07-05T11:34:25.371488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c41ff6507d6a6af768b00b971f55b08fd25574a090247828f72570354f57125

Aliases

arxiv: 2507.06940 · arxiv_version: 2507.06940v1 · doi: 10.48550/arxiv.2507.06940 · pith_short_12: PRA76ZIH22TK · pith_short_16: PRA76ZIH22TK65UL · pith_short_8: PRA76ZIH

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/PRA76ZIH22TK65ULAC4XD5K3BD \
  | 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: 7c41ff6507d6a6af768b00b971f55b08fd25574a090247828f72570354f57125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a8f6c9d190f5ee3011a4c655fb3ff9528d70dde244e0044b8c7b2e0e162ca9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-07-09T15:21:43Z",
    "title_canon_sha256": "5d440804df4894df486ae2242ab4f3c473018b5e91b97a065001cb3d8069e911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06940",
    "kind": "arxiv",
    "version": 1
  }
}