Pith Number

pith:VMBPGY5C

pith:2017:VMBPGY5C2WLIGZDFIBGXQLU2AE

not attested not anchored not stored refs pending

Study on cluster algebras via abstract pattern and two conjectures on d-vectors and g-vector

Fang Li, Peigen Cao

arxiv:1708.08240 v3 · 2017-08-28 · math.RT · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMBPGY5C2WLIGZDFIBGXQLU2AE}

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	2026-05-18T00:29:45.605441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab02f363a2d596836465404d782e9a013da505e4c3b564c58fa94c81d78ff7f1

Aliases

arxiv: 1708.08240 · arxiv_version: 1708.08240v3 · doi: 10.48550/arxiv.1708.08240 · pith_short_12: VMBPGY5C2WLI · pith_short_16: VMBPGY5C2WLIGZDF · pith_short_8: VMBPGY5C

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/VMBPGY5C2WLIGZDFIBGXQLU2AE \
  | 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: ab02f363a2d596836465404d782e9a013da505e4c3b564c58fa94c81d78ff7f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa8dc7337ba98a11217c554fc8528cc51f8e4cbbc9df9cb6c2e5d12d07cf6e9",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-08-28T08:51:17Z",
    "title_canon_sha256": "ebb0d949b0ef276062b8e48598960175f786fc2acb748b4a16e40aaca328b0fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08240",
    "kind": "arxiv",
    "version": 3
  }
}