Pith Number

pith:J6H2FWX7

pith:2021:J6H2FWX73DESZAV7C54VTXQ7RI

not attested not anchored not stored refs pending

The homotopy Lie algebra of a Tor-independent tensor product

David A. Jorgensen, Josh Pollitz, Luigi Ferraro, Mohsen Gheibi, Nicholas Packauskas

arxiv:2109.01003 v2 · 2021-09-02 · 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{J6H2FWX73DESZAV7C54VTXQ7RI}

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	2026-07-05T04:41:51.965054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f8fa2daffd8c92c82bf177959de1f8a3e027b910149f742afac09ab12cc4026

Aliases

arxiv: 2109.01003 · arxiv_version: 2109.01003v2 · doi: 10.48550/arxiv.2109.01003 · pith_short_12: J6H2FWX73DES · pith_short_16: J6H2FWX73DESZAV7 · pith_short_8: J6H2FWX7

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/J6H2FWX73DESZAV7C54VTXQ7RI \
  | 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: 4f8fa2daffd8c92c82bf177959de1f8a3e027b910149f742afac09ab12cc4026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613b6d9202860469ae0d14bbe322b9bf0bdb376d150e94c44f7e0839e892b7ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-09-02T14:59:03Z",
    "title_canon_sha256": "5db4efa88abcfc7b20346e041ea7723e69a889b2a3c2dd7b0d9230951c21bdf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01003",
    "kind": "arxiv",
    "version": 2
  }
}