Pith Number

pith:G5PLZHQQ

pith:2014:G5PLZHQQOUUSMXK4MHNIY344IE

not attested not anchored not stored refs pending

A Combinatorial Formula for Certain Elements of Upper Cluster Algebras

Kyungyong Lee, Li Li, Matthew R. Mills

arxiv:1409.8177 v2 · 2014-09-29 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5PLZHQQOUUSMXK4MHNIY344IE}

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	2026-05-18T01:37:49.340000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375ebc9e107529265d5c61da8c6f9c4118a615bb55008913a55e370cde06e54f

Aliases

arxiv: 1409.8177 · arxiv_version: 1409.8177v2 · doi: 10.48550/arxiv.1409.8177 · pith_short_12: G5PLZHQQOUUS · pith_short_16: G5PLZHQQOUUSMXK4 · pith_short_8: G5PLZHQQ

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/G5PLZHQQOUUSMXK4MHNIY344IE \
  | 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: 375ebc9e107529265d5c61da8c6f9c4118a615bb55008913a55e370cde06e54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39535ad43f39c23b5aa9be25f5b69989eba1b685ef78373c194117d379c58bc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-09-29T16:25:42Z",
    "title_canon_sha256": "3b281e1c86c5351e3dfcb57e7fa585aeb08f9c2a6bf0782fca636e34fdfe479d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8177",
    "kind": "arxiv",
    "version": 2
  }
}