Pith Number

pith:EAWVAAG4

pith:2026:EAWVAAG4X5IMAZJHVWNIOHF5H4

not attested not anchored not stored refs pending

The Gray Product of $(\infty, n)$-Categories via Lax Grids

Leor Neuhauser, Shai Keidar

arxiv:2606.27574 v1 · 2026-06-25 · math.CT · 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{EAWVAAG4X5IMAZJHVWNIOHF5H4}

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	2026-06-29T00:14:10.436000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

202d5000dcbf50c06527ad9a871cbd3f158586795f7ce53bc35618be9687bcd0

Aliases

arxiv: 2606.27574 · arxiv_version: 2606.27574v1 · doi: 10.48550/arxiv.2606.27574 · pith_short_12: EAWVAAG4X5IM · pith_short_16: EAWVAAG4X5IMAZJH · pith_short_8: EAWVAAG4

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/EAWVAAG4X5IMAZJHVWNIOHF5H4 \
  | 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: 202d5000dcbf50c06527ad9a871cbd3f158586795f7ce53bc35618be9687bcd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26c83d132da9625ab7a878fff9a69e82f53ad9f4025194477c6347ecf82c92d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-25T22:01:15Z",
    "title_canon_sha256": "d912de2947bbaf44fe52fa7c16807e91b97c66f8964b4112014d0d205d6e9de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27574",
    "kind": "arxiv",
    "version": 1
  }
}