Pith Number

pith:QVJTV2X3

pith:2019:QVJTV2X3Z4ABPZABN5BPFXXRWM

not attested not anchored not stored refs pending

Convolution morphisms and Kottwitz conjecture

Naoki Imai

arxiv:1909.02328 v5 · 2019-09-05 · math.NT · math.AG · 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{QVJTV2X3Z4ABPZABN5BPFXXRWM}

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	2026-07-05T05:36:43.268758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85533aeafbcf0017e4016f42f2def1b31091766c90fe3e5604d9a7753d986612

Aliases

arxiv: 1909.02328 · arxiv_version: 1909.02328v5 · doi: 10.48550/arxiv.1909.02328 · pith_short_12: QVJTV2X3Z4AB · pith_short_16: QVJTV2X3Z4ABPZAB · pith_short_8: QVJTV2X3

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/QVJTV2X3Z4ABPZABN5BPFXXRWM \
  | 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: 85533aeafbcf0017e4016f42f2def1b31091766c90fe3e5604d9a7753d986612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16133968b75e0ea7ab1dd2273769a154beb03524a9703c1cb1e41bd6b2d1436a",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-09-05T11:20:01Z",
    "title_canon_sha256": "3fe420627237d3fbe46734e70a20a1fface6f33c2a4c9f6a22f52d7b533073fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02328",
    "kind": "arxiv",
    "version": 5
  }
}