Pith Number

pith:K25AVLO5

pith:2018:K25AVLO5FFAU4RWE4THNQAXGX3

not attested not anchored not stored refs pending

Combinatorics of $\mathcal{X}$-variables in finite type cluster algebras

Melissa Sherman-Bennett

arxiv:1803.02492 v2 · 2018-03-07 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K25AVLO5FFAU4RWE4THNQAXGX3}

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	2026-05-17T23:52:53.326216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ba0aaddd29414e46c4e4ced802e6bed2a7ccae61d87eba0104af6719059070

Aliases

arxiv: 1803.02492 · arxiv_version: 1803.02492v2 · doi: 10.48550/arxiv.1803.02492 · pith_short_12: K25AVLO5FFAU · pith_short_16: K25AVLO5FFAU4RWE · pith_short_8: K25AVLO5

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/K25AVLO5FFAU4RWE4THNQAXGX3 \
  | 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: 56ba0aaddd29414e46c4e4ced802e6bed2a7ccae61d87eba0104af6719059070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaab672ca3ef93d20a733489ec64dfb169100b4aed179de203a258bcd185670c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-07T01:00:47Z",
    "title_canon_sha256": "eb9badec2c68f4badb37d207c90ac3401ea3da25d68e0f822b6b56b2240fe853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02492",
    "kind": "arxiv",
    "version": 2
  }
}