Pith Number

pith:U5MDUUF2

pith:2024:U5MDUUF2CTX64XFDDA3WV2BGS5

not attested not anchored not stored refs pending

Cluster-cyclic condition of skew-symmetrizable matrices of rank 3 via the Markov constant

Ryota Akagi

arxiv:2411.07083 v2 · 2024-11-11 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5MDUUF2CTX64XFDDA3WV2BGS5}

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.

Cited by

1 paper in Pith

Fractal phenomenon in $c$- and $g$-vectors of the Markov quiver

Receipt and verification

First computed	2026-07-05T11:45:13.745645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7583a50ba14efee5ca318376ae826977fe519bf88c014dc9831761fc995c6f9

Aliases

arxiv: 2411.07083 · arxiv_version: 2411.07083v2 · doi: 10.48550/arxiv.2411.07083 · pith_short_12: U5MDUUF2CTX6 · pith_short_16: U5MDUUF2CTX64XFD · pith_short_8: U5MDUUF2

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/U5MDUUF2CTX64XFDDA3WV2BGS5 \
  | 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: a7583a50ba14efee5ca318376ae826977fe519bf88c014dc9831761fc995c6f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfcf1b9443ad80024a14d3f065e6d59e56988ad993696e8d0cd826c98ef6c91e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-11T16:00:57Z",
    "title_canon_sha256": "0fc46a866a222c60baa169c1813ec370379d81922c33bb45a5affc0bea90163b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.07083",
    "kind": "arxiv",
    "version": 2
  }
}