Pith Number

pith:IX6EXVXM

pith:2014:IX6EXVXMNY6QMVHB2XSHCJK7VU

not attested not anchored not stored refs pending

Maximal Green Sequences for Cluster Algebras Associated to the n-Torus

Eric Bucher

arxiv:1412.3713 v1 · 2014-12-11 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX6EXVXMNY6QMVHB2XSHCJK7VU}

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	2026-05-18T02:31:30.484975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45fc4bd6ec6e3d0654e1d5e471255fad235a35f50eb6dbcdb48eeb1a060e334f

Aliases

arxiv: 1412.3713 · arxiv_version: 1412.3713v1 · doi: 10.48550/arxiv.1412.3713 · pith_short_12: IX6EXVXMNY6Q · pith_short_16: IX6EXVXMNY6QMVHB · pith_short_8: IX6EXVXM

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/IX6EXVXMNY6QMVHB2XSHCJK7VU \
  | 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: 45fc4bd6ec6e3d0654e1d5e471255fad235a35f50eb6dbcdb48eeb1a060e334f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49412edad57866286412329351e45bae700407a9c61885481a3aee55210a3463",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-11T16:34:05Z",
    "title_canon_sha256": "ed3c68402460c41a4f2311d0288f2fe8164ef7c10f3eb8b1ce558dc4c4100237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3713",
    "kind": "arxiv",
    "version": 1
  }
}