Pith Number

pith:6C2JVGEH

pith:2011:6C2JVGEHYDHP2O5MK7ICQLVGHU

not attested not anchored not stored refs pending

The number of arrows in the quiver of tilting modules over a path algebra of type $A$ and $D$

Ryoichi Kase

arxiv:1101.4747 v2 · 2011-01-25 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6C2JVGEHYDHP2O5MK7ICQLVGHU}

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	2026-05-18T04:14:29.251984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0b49a9887c0cefd3bac57d0282ea63d09c513c3cb7e91a1cf8cd43e89f6a2d3

Aliases

arxiv: 1101.4747 · arxiv_version: 1101.4747v2 · doi: 10.48550/arxiv.1101.4747 · pith_short_12: 6C2JVGEHYDHP · pith_short_16: 6C2JVGEHYDHP2O5M · pith_short_8: 6C2JVGEH

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/6C2JVGEHYDHP2O5MK7ICQLVGHU \
  | 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: f0b49a9887c0cefd3bac57d0282ea63d09c513c3cb7e91a1cf8cd43e89f6a2d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e810f15fc634aeaa532a5bed874e89786f7370d34b904a264908027b8837ab73",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-25T08:27:01Z",
    "title_canon_sha256": "fecfca70e979d4dd24bdf4ed613df38335bf828b1ddeba428d4489fee5c09d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4747",
    "kind": "arxiv",
    "version": 2
  }
}