Pith Number

pith:ANT4HPKF

pith:2013:ANT4HPKFY5ZO7LTHSFILUY6MNG

not attested not anchored not stored refs pending

Torus orbits on homogeneous varieties and Kac polynomials of quivers

Emmanuel Letellier, Fernando Rodriguez Villegas, Paul E. Gunnells

arxiv:1309.0545 v1 · 2013-09-02 · 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{ANT4HPKFY5ZO7LTHSFILUY6MNG}

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	2026-05-18T03:14:18.737132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0367c3bd45c772efae679150ba63cc699c27511c6e35d5b78fcf6d1e7f61c138

Aliases

arxiv: 1309.0545 · arxiv_version: 1309.0545v1 · doi: 10.48550/arxiv.1309.0545 · pith_short_12: ANT4HPKFY5ZO · pith_short_16: ANT4HPKFY5ZO7LTH · pith_short_8: ANT4HPKF

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/ANT4HPKFY5ZO7LTHSFILUY6MNG \
  | 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: 0367c3bd45c772efae679150ba63cc699c27511c6e35d5b78fcf6d1e7f61c138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3012399c00893b62452709dfd1b7a61a3729282b0f494bef288216dcc112fb7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-02T21:05:23Z",
    "title_canon_sha256": "a9aa1d5701775dd29ab914b4bc3266851af35c1d647f44d85551517899e00f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0545",
    "kind": "arxiv",
    "version": 1
  }
}