Pith Number

pith:XLBB7SQD

pith:2012:XLBB7SQD3CW7CZSL6QEDDXOKBE

not attested not anchored not stored refs pending

Universal geometric cluster algebras

Nathan Reading

arxiv:1209.3987 v5 · 2012-09-18 · math.RA · 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{XLBB7SQD3CW7CZSL6QEDDXOKBE}

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

Local and global patterns of rank 3 $G$-fans of totally-infinite type

Receipt and verification

First computed	2026-05-18T03:13:10.773811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac21fca03d8adf1664bf40831ddca093ed57b676359360bd17001419826c853

Aliases

arxiv: 1209.3987 · arxiv_version: 1209.3987v5 · doi: 10.48550/arxiv.1209.3987 · pith_short_12: XLBB7SQD3CW7 · pith_short_16: XLBB7SQD3CW7CZSL · pith_short_8: XLBB7SQD

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/XLBB7SQD3CW7CZSL6QEDDXOKBE \
  | 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: bac21fca03d8adf1664bf40831ddca093ed57b676359360bd17001419826c853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30409711f21d312f7600174e8124f72a6c3278ee63534e316aa39bc2cb943f02",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-18T15:17:30Z",
    "title_canon_sha256": "f88695d70163949cd341fed54da79efb32bc7df1a77f8d65a385ff3a68ce122a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3987",
    "kind": "arxiv",
    "version": 5
  }
}