Pith Number

pith:WNREXHA6

pith:2012:WNREXHA6CBKRJMXMIPZWHXZWZ7

not attested not anchored not stored refs pending

Abelian quiver invariants and marginal wall-crossing

Markus Reineke, Sergey Mozgovoy

arxiv:1212.0410 v1 · 2012-12-03 · 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{WNREXHA6CBKRJMXMIPZWHXZWZ7}

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	2026-05-18T01:52:48.354946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3624b9c1e105514b2ec43f363df36cfce0d9e2b617fccf6a6c5ef886dc33143

Aliases

arxiv: 1212.0410 · arxiv_version: 1212.0410v1 · doi: 10.48550/arxiv.1212.0410 · pith_short_12: WNREXHA6CBKR · pith_short_16: WNREXHA6CBKRJMXM · pith_short_8: WNREXHA6

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/WNREXHA6CBKRJMXMIPZWHXZWZ7 \
  | 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: b3624b9c1e105514b2ec43f363df36cfce0d9e2b617fccf6a6c5ef886dc33143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc4a88d9dd1cdcad07ca5284ebace8c2428886e42078419731261ebe3f0a4388",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-03T15:02:35Z",
    "title_canon_sha256": "4182fb7fad7d8deb325d26e2ca222dea60c6f6c16161ba4d14e1c377874348ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0410",
    "kind": "arxiv",
    "version": 1
  }
}