Pith Number

pith:XQGZE2TG

pith:2023:XQGZE2TGC63HBEWXVCWLP2ZK6A

not attested not anchored not stored refs pending

Explicit forms in lower degrees of rank 2 cluster scattering diagrams

Ryota Akagi

arxiv:2309.15470 v3 · 2023-09-27 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQGZE2TGC63HBEWXVCWLP2ZK6A}

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	2026-06-09T01:05:02.878906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0d926a6617b67092d7a8acb7eb2af0056b4727440a534a68048aa92e01d28c

Aliases

arxiv: 2309.15470 · arxiv_version: 2309.15470v3 · doi: 10.48550/arxiv.2309.15470 · pith_short_12: XQGZE2TGC63H · pith_short_16: XQGZE2TGC63HBEWX · pith_short_8: XQGZE2TG

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/XQGZE2TGC63HBEWXVCWLP2ZK6A \
  | 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: bc0d926a6617b67092d7a8acb7eb2af0056b4727440a534a68048aa92e01d28c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ffd7fdec1e97344024d3b118d713f772d20c13684bd1e565bf6ee6ca8e96d7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-27T08:09:37Z",
    "title_canon_sha256": "d63e704e7ae8a0964e8e35980a34bbc4185abf32261d0d1228ad0f7a7f5a6582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15470",
    "kind": "arxiv",
    "version": 3
  }
}