Pith Number

pith:2N3XOXQO

pith:2015:2N3XOXQOY7GBHSMMNEQ37WYJGT

not attested not anchored not stored refs pending

Combinatorial Auslander-Reiten quivers and reduced expressions

Se-Jin Oh, Uhi Rinn Suh

arxiv:1509.04820 v2 · 2015-09-16 · 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{2N3XOXQOY7GBHSMMNEQ37WYJGT}

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	2026-05-18T00:45:30.659396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d377775e0ec7cc13c98c6921bfdb0934db65122e9fd01ab5ae2e78f8a500efd8

Aliases

arxiv: 1509.04820 · arxiv_version: 1509.04820v2 · doi: 10.48550/arxiv.1509.04820 · pith_short_12: 2N3XOXQOY7GB · pith_short_16: 2N3XOXQOY7GBHSMM · pith_short_8: 2N3XOXQO

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/2N3XOXQOY7GBHSMMNEQ37WYJGT \
  | 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: d377775e0ec7cc13c98c6921bfdb0934db65122e9fd01ab5ae2e78f8a500efd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb9b5bc7b5d7f0dedc43ee0111d6a8edb21b8c63161cd7217487dca64abfa68",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-09-16T06:32:57Z",
    "title_canon_sha256": "cab30d92c1f9843d8bb59e53dd7751ce3f72fd27c28f7002b4075a10e8104dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04820",
    "kind": "arxiv",
    "version": 2
  }
}