Pith Number

pith:5HQPA3OV

pith:2012:5HQPA3OVO7XBOZJQM2GENAINS6

not attested not anchored not stored refs pending

The Picard group of a coarse moduli space of vector bundles in positive characteristic

Norbert Hoffmann

arxiv:1204.4418 v1 · 2012-04-19 · 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{5HQPA3OVO7XBOZJQM2GENAINS6}

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	2026-05-18T03:57:27.554942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e0f06dd577ee176530668c46810d97b0923c9b3e00a33ff7c18e5fb41359f4

Aliases

arxiv: 1204.4418 · arxiv_version: 1204.4418v1 · doi: 10.48550/arxiv.1204.4418 · pith_short_12: 5HQPA3OVO7XB · pith_short_16: 5HQPA3OVO7XBOZJQ · pith_short_8: 5HQPA3OV

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/5HQPA3OVO7XBOZJQM2GENAINS6 \
  | 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: e9e0f06dd577ee176530668c46810d97b0923c9b3e00a33ff7c18e5fb41359f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74e3a3b68a6390ca96193abc4d0a7333145abfc4b6588215e5f61af0cb4faeca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-19T17:37:43Z",
    "title_canon_sha256": "c4445e89f0e208df6e74154b5e0e7d70add47610bbb7ec791bfef7a05e05323b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4418",
    "kind": "arxiv",
    "version": 1
  }
}