Pith Number

pith:TR4UWXJE

pith:2013:TR4UWXJEBO7ZHIZESCLOJ2DLD3

not attested not anchored not stored refs pending

Mutation graphs of maximal rigid modules over finite dimensional preprojective algebras

Hongbo Yin, Shunhua Zhang

arxiv:1301.3983 v1 · 2013-01-17 · 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{TR4UWXJEBO7ZHIZESCLOJ2DLD3}

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	2026-05-18T03:36:14.718126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c794b5d240bbf93a3249096e4e86b1ed27445251ec1d3f896250403b0a8dfaf

Aliases

arxiv: 1301.3983 · arxiv_version: 1301.3983v1 · doi: 10.48550/arxiv.1301.3983 · pith_short_12: TR4UWXJEBO7Z · pith_short_16: TR4UWXJEBO7ZHIZE · pith_short_8: TR4UWXJE

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/TR4UWXJEBO7ZHIZESCLOJ2DLD3 \
  | 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: 9c794b5d240bbf93a3249096e4e86b1ed27445251ec1d3f896250403b0a8dfaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50b26b4fdd16a8ebf0745062cf0e240b930ac515d13c8ebda7557a87f5047674",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-17T05:04:35Z",
    "title_canon_sha256": "aedd1e2d9eac8588ea54fa159ac6248c627ccd760f0154c3e98c00dfe800cbef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3983",
    "kind": "arxiv",
    "version": 1
  }
}