Pith Number

pith:AUPNAX6H

pith:2012:AUPNAX6H5QYRABUYDWVVKNN57J

not attested not anchored not stored refs pending

Hilbert schemes as moduli of Higgs bundles and local systems

Michael Groechenig

arxiv:1206.5516 v1 · 2012-06-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUPNAX6H5QYRABUYDWVVKNN57J}

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	2026-05-18T03:52:39.856884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

051ed05fc7ec311006981dab5535bdfa7aa820d51809ee58100ab368fdbde7ec

Aliases

arxiv: 1206.5516 · arxiv_version: 1206.5516v1 · doi: 10.48550/arxiv.1206.5516 · pith_short_12: AUPNAX6H5QYR · pith_short_16: AUPNAX6H5QYRABUY · pith_short_8: AUPNAX6H

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/AUPNAX6H5QYRABUYDWVVKNN57J \
  | 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: 051ed05fc7ec311006981dab5535bdfa7aa820d51809ee58100ab368fdbde7ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4803734a4d742283cd213acb397dbb19b4c06cfa394884d1e4e55839cd7b0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-24T16:16:26Z",
    "title_canon_sha256": "822e02430e6e6dd80608325669ebafe365d15f760c285c43bc7f62b8ffce8301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5516",
    "kind": "arxiv",
    "version": 1
  }
}