Pith Number

pith:HIAVG4LX

pith:2012:HIAVG4LXWRLEKZ3O7CRNBE377N

not attested not anchored not stored refs pending

Macdonald Polynomials and BGG reciprocity for current algebras

Anton Khoroshkin, Arkady Berenstein, Matthew Bennett, Sergey Loktev, Vyjayanthi Chari

arxiv:1207.2446 v1 · 2012-07-10 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIAVG4LXWRLEKZ3O7CRNBE377N}

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	2026-05-18T03:51:24.114360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a01537177b45645676ef8a2d0937ffb4a9e21a48c88eef9cccbbe6b37fa4ff4

Aliases

arxiv: 1207.2446 · arxiv_version: 1207.2446v1 · doi: 10.48550/arxiv.1207.2446 · pith_short_12: HIAVG4LXWRLE · pith_short_16: HIAVG4LXWRLEKZ3O · pith_short_8: HIAVG4LX

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/HIAVG4LXWRLEKZ3O7CRNBE377N \
  | 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: 3a01537177b45645676ef8a2d0937ffb4a9e21a48c88eef9cccbbe6b37fa4ff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5925884bcf92713ed630ac22096d92e8c49e0e0a8f371552f5453adc577e40fb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-10T19:29:42Z",
    "title_canon_sha256": "af620ecb72ac9e89322407ad4d1d2665f7fdf5cf001445134cd196789a0121db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2446",
    "kind": "arxiv",
    "version": 1
  }
}