Pith Number

pith:BXCDWGX3

pith:2012:BXCDWGX3ARYEVOLF2VPCOL5QL5

not attested not anchored not stored refs pending

The Harder-Narasimhan stratification of the moduli stack of G-bundles via Drinfeld's compactifications

Simon Schieder

arxiv:1212.6814 v2 · 2012-12-31 · math.AG · 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{BXCDWGX3ARYEVOLF2VPCOL5QL5}

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	2026-05-18T01:19:34.751290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc43b1afb04704ab965d55e272fb05f47263b107510a01f04f076ec8be4a847

Aliases

arxiv: 1212.6814 · arxiv_version: 1212.6814v2 · doi: 10.48550/arxiv.1212.6814 · pith_short_12: BXCDWGX3ARYE · pith_short_16: BXCDWGX3ARYEVOLF · pith_short_8: BXCDWGX3

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/BXCDWGX3ARYEVOLF2VPCOL5QL5 \
  | 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: 0dc43b1afb04704ab965d55e272fb05f47263b107510a01f04f076ec8be4a847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "396c9c1f64683b0c91f5130f7aba1eb280e269252a2aac791f14ea4218a8cb0b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-31T03:28:32Z",
    "title_canon_sha256": "a992ae6a1f7d36985a366c9e1e07fc98c8e30d8f4afd7043592938028fba5dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6814",
    "kind": "arxiv",
    "version": 2
  }
}