Pith Number

pith:UYX7IMVK

pith:2025:UYX7IMVK3TS3SZXWJXXAUPYXF2

not attested not anchored not stored refs pending

$C_p$-Mackey functors in Macaulay2

Benjamin Mudrak, Ben Spitz, Chase Vogeli, Chenglu Wang, David Chan, Michael R. Zeng, Sasha Zotine, Thomas Brazelton

arxiv:2509.05456 v1 · 2025-09-05 · math.AT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYX7IMVK3TS3SZXWJXXAUPYXF2}

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	2026-07-05T12:05:48.018355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a62ff432aadce5b966f64dee0a3f172eaffa1f8eea391ebc39e5580492853c84

Aliases

arxiv: 2509.05456 · arxiv_version: 2509.05456v1 · doi: 10.48550/arxiv.2509.05456 · pith_short_12: UYX7IMVK3TS3 · pith_short_16: UYX7IMVK3TS3SZXW · pith_short_8: UYX7IMVK

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/UYX7IMVK3TS3SZXWJXXAUPYXF2 \
  | 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: a62ff432aadce5b966f64dee0a3f172eaffa1f8eea391ebc39e5580492853c84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c5062aa32f0480a7375401ccb66b010d67abc81ecec6125f8d6f50b3e0e43d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-09-05T19:14:50Z",
    "title_canon_sha256": "77182d3b97e61140a3ad928b7698c137b9ed94d6a886693adce14ba8ae29bd83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05456",
    "kind": "arxiv",
    "version": 1
  }
}