Pith Number

pith:4HO4WSSW

pith:2011:4HO4WSSWPUVWJ7RZVPHPEN3PUI

not attested not anchored not stored refs pending

Arithmetic harmonic analysis on character and quiver varieties II

Emmanuel Letellier, Fernando Rodriguez-Villegas, Tamas Hausel

arxiv:1109.5202 v1 · 2011-09-23 · 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{4HO4WSSWPUVWJ7RZVPHPEN3PUI}

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	2026-05-18T04:12:10.002715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ddcb4a567d2b64fe39abcef2376fa20def82da557969db7b6483a4ca5993fd

Aliases

arxiv: 1109.5202 · arxiv_version: 1109.5202v1 · doi: 10.48550/arxiv.1109.5202 · pith_short_12: 4HO4WSSWPUVW · pith_short_16: 4HO4WSSWPUVWJ7RZ · pith_short_8: 4HO4WSSW

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/4HO4WSSWPUVWJ7RZVPHPEN3PUI \
  | 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: e1ddcb4a567d2b64fe39abcef2376fa20def82da557969db7b6483a4ca5993fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb8b07b4307f55e3da89ef13c1b95e83489ed021c985daa58ef001180b36415",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-09-23T21:02:03Z",
    "title_canon_sha256": "b45d2c72f4c9df827d15048fb3bbf0f194e95fcdbaadb489bf2a067ad377a38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5202",
    "kind": "arxiv",
    "version": 1
  }
}