Pith Number

pith:NZKJ3VU5

pith:2015:NZKJ3VU5UCHCFTNJEMJFR2SAJ2

not attested not anchored not stored refs pending

The existence of a maximal green sequence is not invariant under quiver mutation

Greg Muller

arxiv:1503.04675 v4 · 2015-03-16 · math.QA · 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{NZKJ3VU5UCHCFTNJEMJFR2SAJ2}

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	2026-05-18T01:11:55.201572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e549dd69da08e22cda9231258ea404e88e45500434156b3119c40f2489a6a01

Aliases

arxiv: 1503.04675 · arxiv_version: 1503.04675v4 · doi: 10.48550/arxiv.1503.04675 · pith_short_12: NZKJ3VU5UCHC · pith_short_16: NZKJ3VU5UCHCFTNJ · pith_short_8: NZKJ3VU5

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/NZKJ3VU5UCHCFTNJEMJFR2SAJ2 \
  | 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: 6e549dd69da08e22cda9231258ea404e88e45500434156b3119c40f2489a6a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac73df023862238d9366e10d2c48026dc3bf27e64d41e010f69e8ddf0f5ecf8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-03-16T14:53:09Z",
    "title_canon_sha256": "092ecd21d904796691917babf4a93f4e3062df9797ef653db8836fbe98620ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04675",
    "kind": "arxiv",
    "version": 4
  }
}