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Pith Number

pith:RFAA4K35

pith:2016:RFAA4K35JUWOOTV72CYCY74G63
not attested not anchored not stored refs pending

Preprojective algebras of tree-type quivers

Gordana Todorov, Shijie Zhu, Van C. Nguyen

arxiv:1612.01585 v2 · 2016-12-05 · math.RA · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RFAA4K35JUWOOTV72CYCY74G63}

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 2026-05-18T00:52:49.245076Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

89400e2b7d4d2ce74ebfd0b02c7f86f6e3f260e04ab194499520bb0e466859af

Aliases

arxiv: 1612.01585 · arxiv_version: 1612.01585v2 · doi: 10.48550/arxiv.1612.01585 · pith_short_12: RFAA4K35JUWO · pith_short_16: RFAA4K35JUWOOTV7 · pith_short_8: RFAA4K35
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RFAA4K35JUWOOTV72CYCY74G63 \
  | 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: 89400e2b7d4d2ce74ebfd0b02c7f86f6e3f260e04ab194499520bb0e466859af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "27da9701ac76c976381a72e3cc9745fff2c066a3a5076efe7cd310d24177b855",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-05T23:10:33Z",
    "title_canon_sha256": "76ff137d3d743304b1f086ced20977462d3cce190efa34086ef65bfc6051ebfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01585",
    "kind": "arxiv",
    "version": 2
  }
}