Pith Number

pith:4QXNX7BO

pith:2025:4QXNX7BOCWCVVB4UE2HN52UP63

not attested not anchored not stored refs pending

Comparing $\tau$-tilting modules and $1$-tilting modules

Xiaojin Zhang, Xiao-Wu Chen, Zhibing Zhao, Zhi-Wei Li

arxiv:2501.02466 v1 · 2025-01-05 · math.RT · math.RA

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\usepackage{pith}
\pithnumber{4QXNX7BOCWCVVB4UE2HN52UP63}

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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.

Cited by

2 papers in Pith

$\tau$-tilting modules, depth and delooping level

Receipt and verification

First computed	2026-07-05T09:57:07.716283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42edbfc2e15855a8794268edeea8ff6c882fa7bcb48eff8eda84ba495011ad2

Aliases

arxiv: 2501.02466 · arxiv_version: 2501.02466v1 · doi: 10.48550/arxiv.2501.02466 · pith_short_12: 4QXNX7BOCWCV · pith_short_16: 4QXNX7BOCWCVVB4U · pith_short_8: 4QXNX7BO

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/4QXNX7BOCWCVVB4UE2HN52UP63 \
  | 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: e42edbfc2e15855a8794268edeea8ff6c882fa7bcb48eff8eda84ba495011ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29f3acb2526df259aed962b026aa1a57062302873baaaf34ff98318cb849976",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-01-05T07:27:41Z",
    "title_canon_sha256": "36deb2545f9c0579d9c47e15d19e97a6dcaf42d9d98541d8c12e66610e72d683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02466",
    "kind": "arxiv",
    "version": 1
  }
}