Pith Number

pith:XSH7EYXL

pith:2024:XSH7EYXLDSBGL6FWVWGOEXQVQU

not attested not anchored not stored refs pending

Topological Koszulity for Category Algebras

David Favero, Pouya Layeghi

arxiv:2412.18206 v2 · 2024-12-24 · math.RA · 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{XSH7EYXLDSBGL6FWVWGOEXQVQU}

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	2026-07-05T11:08:39.546553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8ff262eb1c8265f8b6ad8ce25e158500c4f540f65b5b6f1a94e843e91ad48b

Aliases

arxiv: 2412.18206 · arxiv_version: 2412.18206v2 · doi: 10.48550/arxiv.2412.18206 · pith_short_12: XSH7EYXLDSBG · pith_short_16: XSH7EYXLDSBGL6FW · pith_short_8: XSH7EYXL

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/XSH7EYXLDSBGL6FWVWGOEXQVQU \
  | 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: bc8ff262eb1c8265f8b6ad8ce25e158500c4f540f65b5b6f1a94e843e91ad48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f4bdd2027c8498ffa8c86d41c3d22a220dc08674d62f1e9e195898f8290bbb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-12-24T06:22:21Z",
    "title_canon_sha256": "5e936980a570066a735ff93da48af7f19fd9459179c06bde487f6837a9ccb7d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18206",
    "kind": "arxiv",
    "version": 2
  }
}