Pith Number

pith:YMHQ7RLM

pith:2017:YMHQ7RLMRUUJRM4HWGVDAZ6QLS

not attested not anchored not stored refs pending

Cotorsion pairs in cluster categories of type $A_{\infty}^{\infty}$

Bin Zhu, Huimin Chang, Yu Zhou

arxiv:1704.04019 v2 · 2017-04-13 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMHQ7RLMRUUJRM4HWGVDAZ6QLS}

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	2026-05-18T00:43:35.033013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30f0fc56c8d2898b387b1aa3067d05cbd3bd1d21eb026e9e1b817e649f9b0be

Aliases

arxiv: 1704.04019 · arxiv_version: 1704.04019v2 · doi: 10.48550/arxiv.1704.04019 · pith_short_12: YMHQ7RLMRUUJ · pith_short_16: YMHQ7RLMRUUJRM4H · pith_short_8: YMHQ7RLM

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/YMHQ7RLMRUUJRM4HWGVDAZ6QLS \
  | 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: c30f0fc56c8d2898b387b1aa3067d05cbd3bd1d21eb026e9e1b817e649f9b0be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6f9d8886fb60998690e155302df1e95e3a27b706d8bacc7ec0371ed053625d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-04-13T07:30:13Z",
    "title_canon_sha256": "76ce90606549c572b228a29f22900e92c3412abd090627fafac8e93bad425faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04019",
    "kind": "arxiv",
    "version": 2
  }
}