Pith Number

pith:XXS2J7TE

pith:2025:XXS2J7TEY4AHSXP4FFKFLH2NZD

not attested not anchored not stored refs pending

Cohomological Mackey formula for quotient stacks

Lucien Hennecart

arxiv:2505.09483 v1 · 2025-05-14 · 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{XXS2J7TEY4AHSXP4FFKFLH2NZD}

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	2026-07-05T11:03:09.238222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde5a4fe64c700795dfc2954559f4dc8eecce941f9fd5a8e94aa0f6df06dba47

Aliases

arxiv: 2505.09483 · arxiv_version: 2505.09483v1 · doi: 10.48550/arxiv.2505.09483 · pith_short_12: XXS2J7TEY4AH · pith_short_16: XXS2J7TEY4AHSXP4 · pith_short_8: XXS2J7TE

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/XXS2J7TEY4AHSXP4FFKFLH2NZD \
  | 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: bde5a4fe64c700795dfc2954559f4dc8eecce941f9fd5a8e94aa0f6df06dba47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6787b0b75f7083b42a6a9ff1b95bae9c95a12d4aa57ab187538e9862910652",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-05-14T15:35:29Z",
    "title_canon_sha256": "728c432c8d881bdb7cde539b2e41839b90c55d7e470c46173c34d54c4fb5c520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09483",
    "kind": "arxiv",
    "version": 1
  }
}