Pith Number

pith:QXIECR6K

pith:2021:QXIECR6KPTBKJJVADIBXU5NY6F

not attested not anchored not stored refs pending

Introduction to Cluster Algebras. Chapter 7

Andrei Zelevinsky, Lauren Williams, Sergey Fomin

arxiv:2106.02160 v3 · 2021-06-03 · 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{QXIECR6KPTBKJJVADIBXU5NY6F}

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

Introduction to the Cohomology of the Flag Variety

Receipt and verification

First computed	2026-07-05T10:23:16.882978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d04147ca7cc2a4a6a01a037a75b8f17222cb24bdb184f2e44c29bb6f94fee8

Aliases

arxiv: 2106.02160 · arxiv_version: 2106.02160v3 · doi: 10.48550/arxiv.2106.02160 · pith_short_12: QXIECR6KPTBK · pith_short_16: QXIECR6KPTBKJJVA · pith_short_8: QXIECR6K

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/QXIECR6KPTBKJJVADIBXU5NY6F \
  | 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: 85d04147ca7cc2a4a6a01a037a75b8f17222cb24bdb184f2e44c29bb6f94fee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13a6cb7cbc626877f34178c3d3e39b085ac321e4bced260c41875a58912b9803",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-03T22:29:27Z",
    "title_canon_sha256": "6382b42286a9d26ad450d816b5cbeef6d6f97728d0649fedc1f57abcca6e2e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02160",
    "kind": "arxiv",
    "version": 3
  }
}