Pith Number

pith:QGVXRRH7

pith:2018:QGVXRRH7J2H7NJDZEGE2Q2N4S4

not attested not anchored not stored refs pending

On the relationship between green-to-red sequences, local-acyclicity, and upper cluster algebras

Matthew R. Mills

arxiv:1804.00479 v3 · 2018-04-02 · math.AC · 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{QGVXRRH7J2H7NJDZEGE2Q2N4S4}

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	2026-05-18T00:05:19.392830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ab78c4ff4e8ff6a4792189a869bc9703454225eff79057778229402d5864b7

Aliases

arxiv: 1804.00479 · arxiv_version: 1804.00479v3 · doi: 10.48550/arxiv.1804.00479 · pith_short_12: QGVXRRH7J2H7 · pith_short_16: QGVXRRH7J2H7NJDZ · pith_short_8: QGVXRRH7

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/QGVXRRH7J2H7NJDZEGE2Q2N4S4 \
  | 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: 81ab78c4ff4e8ff6a4792189a869bc9703454225eff79057778229402d5864b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5650d7ef9ed5ff932cd9951e066fe8e8e6045136cb41a0a4f95d7a103d60f6fe",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-02T13:21:04Z",
    "title_canon_sha256": "87c175f454be1feb5edaa927c20319a79715707ae738e3b356468f65cfdd16fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00479",
    "kind": "arxiv",
    "version": 3
  }
}