Pith Number

pith:2TY5PVKX

pith:2026:2TY5PVKXTQW6OBFYU2PZA56WZQ

not attested not anchored not stored refs pending

Mutation matrices from Poisson CGL extensions

Jiang-Hua Lu, Yipeng Mi, Zihang Liu

arxiv:2607.07028 v1 · 2026-07-08 · math.RA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TY5PVKXTQW6OBFYU2PZA56WZQ}

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	2026-07-09T01:20:12.780467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f1d7d5579c2de704b8a69f9077d6cc0c5a21c404922337334d1352d8886585

Aliases

arxiv: 2607.07028 · arxiv_version: 2607.07028v1 · doi: 10.48550/arxiv.2607.07028 · pith_short_12: 2TY5PVKXTQW6 · pith_short_16: 2TY5PVKXTQW6OBFY · pith_short_8: 2TY5PVKX

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/2TY5PVKXTQW6OBFYU2PZA56WZQ \
  | 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: d4f1d7d5579c2de704b8a69f9077d6cc0c5a21c404922337334d1352d8886585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0845a0ae26d5ad8a169ff16c312b3e1e385412e1584b0e040e41fad6726c9dc",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-08T06:00:04Z",
    "title_canon_sha256": "9294c610d320ddfcfd57a11482d2ae6086bfac4f3521e9b45e0cd5a90942d315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07028",
    "kind": "arxiv",
    "version": 1
  }
}