Pith Number

pith:OXXB56P6

pith:2014:OXXB56P6AY4LSYCGYWXXXG4Q4F

not attested not anchored not stored refs pending

Linear Koszul duality and Fourier transform for convolution algebras

Ivan Mirkovic (UMASS), Simon Riche

arxiv:1401.7186 v3 · 2014-01-28 · 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{OXXB56P6AY4LSYCGYWXXXG4Q4F}

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	2026-05-18T01:33:16.829762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75ee1ef9fe0638b96046c5af7b9b90e17787b61e4394caaa8289cf66b4a6a7e9

Aliases

arxiv: 1401.7186 · arxiv_version: 1401.7186v3 · doi: 10.48550/arxiv.1401.7186 · pith_short_12: OXXB56P6AY4L · pith_short_16: OXXB56P6AY4LSYCG · pith_short_8: OXXB56P6

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/OXXB56P6AY4LSYCGYWXXXG4Q4F \
  | 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: 75ee1ef9fe0638b96046c5af7b9b90e17787b61e4394caaa8289cf66b4a6a7e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec03edfed0956530f96e9d13bd12b92423228c69b27310d3f53413d1cf4637e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-01-28T14:00:25Z",
    "title_canon_sha256": "0d102c9e59971c6307ffdff8d7d9b1a4db693d42b4795564f0c15e81670b7bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7186",
    "kind": "arxiv",
    "version": 3
  }
}