Pith Number

pith:W2VINGOU

pith:2025:W2VINGOUMCS5V6ANXOQHRSLZVS

not attested not anchored not stored refs pending

The $RO(\mathcal{K})$-graded homotopy of Klein-four normed Mackey functors

Bertrand J. Guillou, David Mehrle, Jesse Keyes

arxiv:2507.12423 v2 · 2025-07-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2VINGOUMCS5V6ANXOQHRSLZVS}

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	2026-05-26T02:05:01.071705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6aa8699d460a5daf80dbba078c979aca3fbd1f015891aee7eaee2a5acb42cb5

Aliases

arxiv: 2507.12423 · arxiv_version: 2507.12423v2 · doi: 10.48550/arxiv.2507.12423 · pith_short_12: W2VINGOUMCS5 · pith_short_16: W2VINGOUMCS5V6AN · pith_short_8: W2VINGOU

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/W2VINGOUMCS5V6ANXOQHRSLZVS \
  | 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: b6aa8699d460a5daf80dbba078c979aca3fbd1f015891aee7eaee2a5acb42cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3f50aaea92d05ea66c85fae863e2f4bd1648cdb9d6b33da22ed4477be40977",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-16T17:10:46Z",
    "title_canon_sha256": "e3ae6b0df69d489ad08ed5c26a98f3d9a9307a49b6d2c05b4cd637047fd5df3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12423",
    "kind": "arxiv",
    "version": 2
  }
}