Pith Number

pith:UTZ5FBDO

pith:2022:UTZ5FBDOFK4IBT3VOG5H5VWKSA

not attested not anchored not stored refs pending

Affine BPS algebras, W algebras, and the cohomological Hall algebra of $\mathbb{A}^2$

Ben Davison

arxiv:2209.05971 v6 · 2022-09-13 · math.RT · hep-th · 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{UTZ5FBDOFK4IBT3VOG5H5VWKSA}

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	2026-07-05T11:37:06.280275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f3d2846e2ab880cf7571ba7ed6ca90262e1146a3ae479a0ddda5cd6d08890d

Aliases

arxiv: 2209.05971 · arxiv_version: 2209.05971v6 · doi: 10.48550/arxiv.2209.05971 · pith_short_12: UTZ5FBDOFK4I · pith_short_16: UTZ5FBDOFK4IBT3V · pith_short_8: UTZ5FBDO

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/UTZ5FBDOFK4IBT3VOG5H5VWKSA \
  | 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: a4f3d2846e2ab880cf7571ba7ed6ca90262e1146a3ae479a0ddda5cd6d08890d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e79c631784f73428e69585ff85985b7f429249c19888685ae5ffcdc4b200fc0a",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-09-13T13:09:21Z",
    "title_canon_sha256": "1faeaebdb08848b1d9337b71b76c79513512b2f4e01b21184b25745d88b68534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05971",
    "kind": "arxiv",
    "version": 6
  }
}