Pith Number

pith:K224NJ5R

pith:2019:K224NJ5RIWGI55J4YCDYWIU2U2

not attested not anchored not stored refs pending

Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products

Dustin McPhate, Pablo S. Ocal, Sarah Witherspoon, Tekin Karadag, Tolulope Oke

arxiv:1909.02181 v5 · 2019-09-05 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K224NJ5RIWGI55J4YCDYWIU2U2}

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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	2026-07-05T08:48:56.528592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b5c6a7b1458c8ef53cc0878b229aa6bb0db5b83ae60c12b344f11a168b4d12

Aliases

arxiv: 1909.02181 · arxiv_version: 1909.02181v5 · doi: 10.48550/arxiv.1909.02181 · pith_short_12: K224NJ5RIWGI · pith_short_16: K224NJ5RIWGI55J4 · pith_short_8: K224NJ5R

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/K224NJ5RIWGI55J4YCDYWIU2U2 \
  | 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: 56b5c6a7b1458c8ef53cc0878b229aa6bb0db5b83ae60c12b344f11a168b4d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948cb4fcc483363b8187c2c498c12fda11cf66b7b2c47d6a8d56d59fcee9b9a6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-09-05T01:57:31Z",
    "title_canon_sha256": "ac38c5db08a51fbabb5b8620b94c9f5d5cecd7194ff034a5acbc68610995dbb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02181",
    "kind": "arxiv",
    "version": 5
  }
}