Pith Number

pith:5432WTSP

pith:2013:5432WTSP4NJWYA5GCS7XUDNYA7

not attested not anchored not stored refs pending

Graded cluster algebras

Jan E. Grabowski

arxiv:1309.6170 v3 · 2013-09-24 · math.RA · 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{5432WTSP4NJWYA5GCS7XUDNYA7}

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	2026-05-18T01:42:57.670846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef37ab4e4fe3536c03a614bf7a0db807f42932bae894c33aafe6cca2b64615c6

Aliases

arxiv: 1309.6170 · arxiv_version: 1309.6170v3 · doi: 10.48550/arxiv.1309.6170 · pith_short_12: 5432WTSP4NJW · pith_short_16: 5432WTSP4NJWYA5G · pith_short_8: 5432WTSP

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/5432WTSP4NJWYA5GCS7XUDNYA7 \
  | 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: ef37ab4e4fe3536c03a614bf7a0db807f42932bae894c33aafe6cca2b64615c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02bb4583e695f66269ce82068b1a64299e06bed52cd763d47312d0515f4968f3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-24T14:14:03Z",
    "title_canon_sha256": "da5f1d192c4740a8a1477bf31d825a9c1456fcc49d6b689d5a4d912a33ec1b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6170",
    "kind": "arxiv",
    "version": 3
  }
}