Pith Number

pith:UDFQYQ7X

pith:2026:UDFQYQ7XJRU77UAGYDNICR4KIW

not attested not anchored not stored refs pending

Commutativity of nilpotent cohomological Hall algebras of $\mathbf{A}^2$

Lucien Hennecart

arxiv:2607.06512 v1 · 2026-07-07 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDFQYQ7XJRU77UAGYDNICR4KIW}

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	2026-07-08T01:19:28.470238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0cb0c43f74c69ffd006c0da81478a45b8ab1ecbb427488cbfdd715ac22168f3

Aliases

arxiv: 2607.06512 · arxiv_version: 2607.06512v1 · doi: 10.48550/arxiv.2607.06512 · pith_short_12: UDFQYQ7XJRU7 · pith_short_16: UDFQYQ7XJRU77UAG · pith_short_8: UDFQYQ7X

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/UDFQYQ7XJRU77UAGYDNICR4KIW \
  | 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: a0cb0c43f74c69ffd006c0da81478a45b8ab1ecbb427488cbfdd715ac22168f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6da250410d763c86159c95b9f9d89461705ca9926962a69713b1b063dc57fa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-07T17:16:41Z",
    "title_canon_sha256": "8da4bfb4b99823136cac3eb4bb7b872058e0e8d3c2185399e42f6f18afc7e532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06512",
    "kind": "arxiv",
    "version": 1
  }
}