Pith Number

pith:W42K5J6D

pith:2020:W42K5J6DZQWVDTOGPXCU7WK7RQ

not attested not anchored not stored refs pending

Introduction to Cluster Algebras. Chapter 6

Andrei Zelevinsky, Lauren Williams, Sergey Fomin

arxiv:2008.09189 v2 · 2020-08-20 · math.AC · 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{W42K5J6DZQWVDTOGPXCU7WK7RQ}

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

Frayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson charts

Receipt and verification

First computed	2026-07-05T03:09:42.984694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b734aea7c3cc2d51cdc67dc54fd95f8c20949b6dfb9c875cb976d2205b8cfacd

Aliases

arxiv: 2008.09189 · arxiv_version: 2008.09189v2 · doi: 10.48550/arxiv.2008.09189 · pith_short_12: W42K5J6DZQWV · pith_short_16: W42K5J6DZQWVDTOG · pith_short_8: W42K5J6D

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/W42K5J6DZQWVDTOGPXCU7WK7RQ \
  | 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: b734aea7c3cc2d51cdc67dc54fd95f8c20949b6dfb9c875cb976d2205b8cfacd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fd99ed9fc2839b58ae88d93c1858ac7b3449585eba1f2b45606a8c59830680e",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2020-08-20T20:09:54Z",
    "title_canon_sha256": "6adb19341966fd0682aacb1bd8eb9da062eeb1d641582344b71f5194defcb2fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09189",
    "kind": "arxiv",
    "version": 2
  }
}