Pith Number

pith:ZEXU574E

pith:2018:ZEXU574EOGQ67ZUXL2NE426SO5

not attested not anchored not stored refs pending

Cluster exchange groupoids and framed quadratic differentials

Alastair King, Yu Qiu

arxiv:1805.00030 v2 · 2018-04-30 · math.GT · math.AG · math.DS · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEXU574EOGQ67ZUXL2NE426SO5}

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.

Cited by

1 paper in Pith

From green mutation to $\mathrm{X}$-evolution: flows and foliations on cluster complexes

Receipt and verification

First computed	2026-07-05T00:19:17.883934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92f4eff8471a1efe6975e9a4e6bd27775bfa08c0909378b47a6bb160cec4144

Aliases

arxiv: 1805.00030 · arxiv_version: 1805.00030v2 · doi: 10.48550/arxiv.1805.00030 · pith_short_12: ZEXU574EOGQ6 · pith_short_16: ZEXU574EOGQ67ZUX · pith_short_8: ZEXU574E

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/ZEXU574EOGQ67ZUXL2NE426SO5 \
  | 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: c92f4eff8471a1efe6975e9a4e6bd27775bfa08c0909378b47a6bb160cec4144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d848c5072b5941a07ccf628bec2668579c11a8a08eaabfed74ed5c40e92fcb",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-30T18:00:05Z",
    "title_canon_sha256": "a04d3f81b8b606d08f28f1c4e257f59eb04939db94fbf2b563bb01b5b205d113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00030",
    "kind": "arxiv",
    "version": 2
  }
}