Pith Number

pith:4OEXRLEW

pith:2018:4OEXRLEWQUYX2Z72GBE2RRJNNL

not attested not anchored not stored refs pending

Kac polynomials and Lie algebras associated to quivers and curves

Olivier Schiffmann

arxiv:1802.09760 v1 · 2018-02-27 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OEXRLEWQUYX2Z72GBE2RRJNNL}

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	2026-05-18T00:22:22.309087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38978ac9685317d67fa3049a8c52d6aedb5c2c638e8730e79c5a14fa878bec3

Aliases

arxiv: 1802.09760 · arxiv_version: 1802.09760v1 · doi: 10.48550/arxiv.1802.09760 · pith_short_12: 4OEXRLEWQUYX · pith_short_16: 4OEXRLEWQUYX2Z72 · pith_short_8: 4OEXRLEW

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/4OEXRLEWQUYX2Z72GBE2RRJNNL \
  | 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: e38978ac9685317d67fa3049a8c52d6aedb5c2c638e8730e79c5a14fa878bec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25fb85950648f59ee89f000305723749094501060bd2e15d315190db843fbae0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-02-27T08:02:24Z",
    "title_canon_sha256": "9dc9b3a2547a0bb4202d933affe5aef1d772753418d0fb819179145ddb5a5037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09760",
    "kind": "arxiv",
    "version": 1
  }
}