Pith Number

pith:QPWIJTE3

pith:2016:QPWIJTE3SJFIMTO4KQKHPBBJVJ

not attested not anchored not stored refs pending

Cluster automorphisms and the marked exchange graphs of skew-symmetrizable cluster algebras

John W. Lawson

arxiv:1602.05494 v2 · 2016-02-17 · 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{QPWIJTE3SJFIMTO4KQKHPBBJVJ}

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	2026-05-18T00:55:28.569452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ec84cc9b924a864ddc5414778429aa5b526c83e1e3d073d940e39d5a009569

Aliases

arxiv: 1602.05494 · arxiv_version: 1602.05494v2 · doi: 10.48550/arxiv.1602.05494 · pith_short_12: QPWIJTE3SJFI · pith_short_16: QPWIJTE3SJFIMTO4 · pith_short_8: QPWIJTE3

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/QPWIJTE3SJFIMTO4KQKHPBBJVJ \
  | 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: 83ec84cc9b924a864ddc5414778429aa5b526c83e1e3d073d940e39d5a009569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7d5d055ad3f1c24bc5068ee8a277abe604350cc8558a1d5246172116d3fda1",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-17T17:21:33Z",
    "title_canon_sha256": "85c94ed7df35c6a8626754c06e90f213006852a441fa58a2e18496e845b26a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05494",
    "kind": "arxiv",
    "version": 2
  }
}