Pith Number

pith:VP22D2WV

pith:2014:VP22D2WVNPZB2VX23DIAG5A4MT

not attested not anchored not stored refs pending

Maximal rigid objects without loops in connected 2-CY triangulated categories are cluster-tilting objects

Baiyu Ouyang, Jinde Xu

arxiv:1404.1976 v2 · 2014-04-08 · 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{VP22D2WVNPZB2VX23DIAG5A4MT}

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	2026-05-18T02:43:53.958416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf5a1ead56bf21d56fad8d003741c64f64970ec2099f95f3c1e5a57b31c04d9

Aliases

arxiv: 1404.1976 · arxiv_version: 1404.1976v2 · doi: 10.48550/arxiv.1404.1976 · pith_short_12: VP22D2WVNPZB · pith_short_16: VP22D2WVNPZB2VX2 · pith_short_8: VP22D2WV

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/VP22D2WVNPZB2VX23DIAG5A4MT \
  | 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: abf5a1ead56bf21d56fad8d003741c64f64970ec2099f95f3c1e5a57b31c04d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "396910029efa39d9da26b03127a9ced4e7f264d362fedd10fad10693adeab62e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-04-08T00:47:09Z",
    "title_canon_sha256": "85cf2cc649a83a1ed9185ea9ac338ae807b95dd857bff6ef6614c34b4755bb3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1976",
    "kind": "arxiv",
    "version": 2
  }
}