Pith Number

pith:ZHPO5XTS

pith:2016:ZHPO5XTSG6ME3BUD7OU3WA63XV

not attested not anchored not stored refs pending

Hard Lefschetz for Chow groups of generalized Kummer varieties

Robert Laterveer

arxiv:1611.08819 v1 · 2016-11-27 · 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{ZHPO5XTSG6ME3BUD7OU3WA63XV}

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	2026-05-18T00:56:36.607006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9deeede7237984d8683fba9bb03dbbd4222022248524a173748fda2d927daf5

Aliases

arxiv: 1611.08819 · arxiv_version: 1611.08819v1 · doi: 10.48550/arxiv.1611.08819 · pith_short_12: ZHPO5XTSG6ME · pith_short_16: ZHPO5XTSG6ME3BUD · pith_short_8: ZHPO5XTS

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/ZHPO5XTSG6ME3BUD7OU3WA63XV \
  | 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: c9deeede7237984d8683fba9bb03dbbd4222022248524a173748fda2d927daf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59dcdf58ea8f382ba08bb3d6adc832fc0dd43189e8b051cbc07883fa7494139f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-27T10:20:15Z",
    "title_canon_sha256": "62d9931bde867c19b012d8e5d92d6fb66a75bcc5042649fd5450fcec872e76ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08819",
    "kind": "arxiv",
    "version": 1
  }
}