Pith Number

pith:6AATLIQO

pith:2019:6AATLIQOFPKWDNBAQXJWR6ZH2I

not attested not anchored not stored refs pending

On the Cohomological Hall Algebra of the Kronecker Quiver

Hans Franzen, Markus Reineke

arxiv:1904.09224 v1 · 2019-04-19 · math.AG · math.QA · 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{6AATLIQOFPKWDNBAQXJWR6ZH2I}

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	2026-05-17T23:48:07.975837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f00135a20e2bd561b42085d368fb27d204810764d7ca04c41e87752729df5bf6

Aliases

arxiv: 1904.09224 · arxiv_version: 1904.09224v1 · doi: 10.48550/arxiv.1904.09224 · pith_short_12: 6AATLIQOFPKW · pith_short_16: 6AATLIQOFPKWDNBA · pith_short_8: 6AATLIQO

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/6AATLIQOFPKWDNBAQXJWR6ZH2I \
  | 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: f00135a20e2bd561b42085d368fb27d204810764d7ca04c41e87752729df5bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39450c79fa3ca4f856c71b889c37059d4e8c3f75497124bf62010c2cc4547c94",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-04-19T15:11:20Z",
    "title_canon_sha256": "bec441d437452ccbc2d07bc8b7f384e0ba552221f507b880debff1f310c6dfe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09224",
    "kind": "arxiv",
    "version": 1
  }
}