Pith Number

pith:GUK2GHQM

pith:2011:GUK2GHQMNVIOY3BXQSPWMYA2EB

not attested not anchored not stored refs pending

Primitive ideals in W-algebras of type A

Ivan Losev

arxiv:1108.4171 v2 · 2011-08-21 · 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{GUK2GHQMNVIOY3BXQSPWMYA2EB}

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	2026-05-18T04:07:06.525571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3515a31e0c6d50ec6c37849f66601a20401d866987d7b72c2f8e213cbd44868e

Aliases

arxiv: 1108.4171 · arxiv_version: 1108.4171v2 · doi: 10.48550/arxiv.1108.4171 · pith_short_12: GUK2GHQMNVIO · pith_short_16: GUK2GHQMNVIOY3BX · pith_short_8: GUK2GHQM

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/GUK2GHQMNVIOY3BXQSPWMYA2EB \
  | 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: 3515a31e0c6d50ec6c37849f66601a20401d866987d7b72c2f8e213cbd44868e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aabe7768b2d1a80e5c1d965149b33ca71eee29ed84da83040a4eeb372e146788",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-21T08:43:19Z",
    "title_canon_sha256": "586df81ead59cfc53c30d3bf2088409ad4a1fb8b9560070cdaf912a0b7f92d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4171",
    "kind": "arxiv",
    "version": 2
  }
}