Pith Number

pith:3523PUTG

pith:2022:3523PUTG55A2K7K3RT7C4GPAJU

not attested not anchored not stored refs pending

Relative tensor products and Koszul duality in monoidal oo-categories

Asaf Horev, Ishai Dan-Cohen

arxiv:2210.11861 v4 · 2022-10-21 · math.AG · 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{3523PUTG55A2K7K3RT7C4GPAJU}

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	2026-07-30T01:18:35.388836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

df75b7d266ef41a57d5b8cfe2e19e04d0733a9cc0f6d6006e84fd14334211318

Aliases

arxiv: 2210.11861 · arxiv_version: 2210.11861v4 · doi: 10.48550/arxiv.2210.11861 · pith_short_12: 3523PUTG55A2 · pith_short_16: 3523PUTG55A2K7K3 · pith_short_8: 3523PUTG

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/3523PUTG55A2K7K3RT7C4GPAJU \
  | 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: df75b7d266ef41a57d5b8cfe2e19e04d0733a9cc0f6d6006e84fd14334211318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a9f2bea023e7129c1dca1e734873aaafbbbfccfed8df28e8d0122c7d9e2de83",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-10-21T10:31:44Z",
    "title_canon_sha256": "93ea657b83abac261b7d0711fee4d6037162c0859921f10eaa43aa72a746c069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.11861",
    "kind": "arxiv",
    "version": 4
  }
}