Pith Number

pith:CK7OTWWN

pith:2026:CK7OTWWNWRP6YXUBCQWH2MXU45

not attested not anchored not stored refs pending

Poisson fields of two variables

James J. Zhang, Ken Goodearl

arxiv:2605.24835 v1 · 2026-05-24 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CK7OTWWNWRP6YXUBCQWH2MXU45}

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	2026-05-26T01:04:01.038201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12bee9dacdb45fec5e81142c7d32f4e772df42a6a08aee3122a4e7bb0b95ca62

Aliases

arxiv: 2605.24835 · arxiv_version: 2605.24835v1 · doi: 10.48550/arxiv.2605.24835 · pith_short_12: CK7OTWWNWRP6 · pith_short_16: CK7OTWWNWRP6YXUB · pith_short_8: CK7OTWWN

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/CK7OTWWNWRP6YXUBCQWH2MXU45 \
  | 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: 12bee9dacdb45fec5e81142c7d32f4e772df42a6a08aee3122a4e7bb0b95ca62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d966ac00d0d1e1e6472174b9ffc16b2ec77f24b836c2216948f337a6442f73f1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-05-24T03:00:14Z",
    "title_canon_sha256": "bdc9e51d64658f3240d6448eb0eda8d980704f349bd1e5a2215ccea8433ae6a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24835",
    "kind": "arxiv",
    "version": 1
  }
}