Pith Number

pith:Z4OIXFH5

pith:2026:Z4OIXFH5HCVJE75WTETKIXPFET

not attested not anchored not stored refs pending

Enriched $\infty$-operads as marked algebras

Markus Zetto

arxiv:2607.06676 v1 · 2026-07-07 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4OIXFH5HCVJE75WTETKIXPFET}

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	2026-07-09T00:19:22.904571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1c8b94fd38aa927fb69926a45de524c92ff588dc7a8a32af5601c9e0d2c1a5

Aliases

arxiv: 2607.06676 · arxiv_version: 2607.06676v1 · doi: 10.48550/arxiv.2607.06676 · pith_short_12: Z4OIXFH5HCVJ · pith_short_16: Z4OIXFH5HCVJE75W · pith_short_8: Z4OIXFH5

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/Z4OIXFH5HCVJE75WTETKIXPFET \
  | 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: cf1c8b94fd38aa927fb69926a45de524c92ff588dc7a8a32af5601c9e0d2c1a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "811b69ff96dc9ac586526d8729dde9b0e5e0828d3e7cc90de557c286cf32f2a2",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-07T18:00:36Z",
    "title_canon_sha256": "04b9f0a3799fb08a4bf11be4de271ecbf9abacc3a60f0733b4e1412c460d9a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06676",
    "kind": "arxiv",
    "version": 1
  }
}