Pith Number

pith:M7NQGGDS

pith:2012:M7NQGGDSRCTVUVOZJYNQ4Q2AAX

not attested not anchored not stored refs pending

Hall polynomials for representation-finite cluster-tilted algebras

Changjian Fu

arxiv:1212.4689 v1 · 2012-12-19 · 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{M7NQGGDSRCTVUVOZJYNQ4Q2AAX}

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	2026-05-18T00:06:16.529401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67db03187288a75a55d94e1b0e434005e89992bafac6a00d8477680a40c484b1

Aliases

arxiv: 1212.4689 · arxiv_version: 1212.4689v1 · doi: 10.48550/arxiv.1212.4689 · pith_short_12: M7NQGGDSRCTV · pith_short_16: M7NQGGDSRCTVUVOZ · pith_short_8: M7NQGGDS

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/M7NQGGDSRCTVUVOZJYNQ4Q2AAX \
  | 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: 67db03187288a75a55d94e1b0e434005e89992bafac6a00d8477680a40c484b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03b5ff2c0371d1501604c558e5a1593223dfa65de43be3a55ff647c0787a58c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-19T15:01:29Z",
    "title_canon_sha256": "eced1b7be16f18e2d62bede6852e7471ac4b480a12b32325d99ce5c99db74e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4689",
    "kind": "arxiv",
    "version": 1
  }
}