Pith Number

pith:NHZENGPL

pith:2014:NHZENGPLL225UIRMGEPKFEH5KK

not attested not anchored not stored refs pending

Canonical bases for cluster algebras

Mark Gross, Maxim Kontsevich, Paul Hacking, Sean Keel

arxiv:1411.1394 v2 · 2014-11-05 · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHZENGPLL225UIRMGEPKFEH5KK}

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

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Receipt and verification

First computed	2026-05-18T01:01:00.656006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f24699eb5eb5da222c311ea290fd52bdde629ee90bb4693459fa6cfa24771e

Aliases

arxiv: 1411.1394 · arxiv_version: 1411.1394v2 · doi: 10.48550/arxiv.1411.1394 · pith_short_12: NHZENGPLL225 · pith_short_16: NHZENGPLL225UIRM · pith_short_8: NHZENGPL

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/NHZENGPLL225UIRMGEPKFEH5KK \
  | 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: 69f24699eb5eb5da222c311ea290fd52bdde629ee90bb4693459fa6cfa24771e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150635b844343bd8067023e4b8f909089bf5d6f716f28a7304f154015c661653",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-05T20:45:51Z",
    "title_canon_sha256": "903072265b6f587561c1344623734823a6410c5f2a81dff8c8fa6ed5711d149b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1394",
    "kind": "arxiv",
    "version": 2
  }
}