Pith Number

pith:PZH56A6M

pith:2016:PZH56A6MCH76H2S5CFF57HHP3E

not attested not anchored not stored refs pending

Introduction to Cluster Algebras. Chapters 1-3

Andrei Zelevinsky, Lauren Williams, Sergey Fomin

arxiv:1608.05735 v5 · 2016-08-19 · math.CO · math.RA · 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{PZH56A6MCH76H2S5CFF57HHP3E}

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

4 papers in Pith

On Two Approaches to Cluster Structures on Partial Flag Varieties

Theta functions and quiver Grassmannians

Cyclically ordered quivers

Eventual sign coherence

Receipt and verification

First computed	2026-07-05T09:46:38.003017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e4fdf03cc11ffe3ea5d114bdf9cefd9019d540476e0b7d6f0ea335a936bb70b

Aliases

arxiv: 1608.05735 · arxiv_version: 1608.05735v5 · doi: 10.48550/arxiv.1608.05735 · pith_short_12: PZH56A6MCH76 · pith_short_16: PZH56A6MCH76H2S5 · pith_short_8: PZH56A6M

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/PZH56A6MCH76H2S5CFF57HHP3E \
  | 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: 7e4fdf03cc11ffe3ea5d114bdf9cefd9019d540476e0b7d6f0ea335a936bb70b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0fa26ef40cacb104b264df04df689def29b396e556614455391b3beec6c3cd1",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-19T20:49:21Z",
    "title_canon_sha256": "bf9f42fa595385c01d8bd068264421995685f40896400f059580b9000be95517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05735",
    "kind": "arxiv",
    "version": 5
  }
}