Pith Number

pith:UZCZRE3P

pith:2017:UZCZRE3PKF7JQPMZUSFARNXTTV

not attested not anchored not stored refs pending

Affine cluster monomials are generalized minors

Dylan Rupel, Harold Williams, Salvatore Stella

arxiv:1712.09143 v1 · 2017-12-25 · math.RT · 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{UZCZRE3PKF7JQPMZUSFARNXTTV}

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	2026-05-17T23:40:14.333725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a64598936f517e983d99a48a08b6f39d4c62860d9a6d346a55d330c0d758d2b5

Aliases

arxiv: 1712.09143 · arxiv_version: 1712.09143v1 · doi: 10.48550/arxiv.1712.09143 · pith_short_12: UZCZRE3PKF7J · pith_short_16: UZCZRE3PKF7JQPMZ · pith_short_8: UZCZRE3P

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/UZCZRE3PKF7JQPMZUSFARNXTTV \
  | 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: a64598936f517e983d99a48a08b6f39d4c62860d9a6d346a55d330c0d758d2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f798d740cb4ddfc63a8763ce78dc23697c2c1753b45e72c89c549360b214607",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-25T23:27:18Z",
    "title_canon_sha256": "b5e281f121ba9038ae3ab639f24319e3e36a47b0953c51fd7f781f3092c33a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09143",
    "kind": "arxiv",
    "version": 1
  }
}