Pith Number

pith:LLC6YXFD

pith:2016:LLC6YXFDEDSQA6T57RRUFBTJ46

not attested not anchored not stored refs pending

Very ampleness of the bicanonical line bundle on compact complex two ball quotients

Sai-Kee Yeung

arxiv:1603.04978 v3 · 2016-03-16 · 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{LLC6YXFDEDSQA6T57RRUFBTJ46}

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	2026-05-18T00:26:30.866081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac5ec5ca320e5007a7dfc63428669e7b8c9b1efe6de7d21b8a6cc88bf788eac

Aliases

arxiv: 1603.04978 · arxiv_version: 1603.04978v3 · doi: 10.48550/arxiv.1603.04978 · pith_short_12: LLC6YXFDEDSQ · pith_short_16: LLC6YXFDEDSQA6T5 · pith_short_8: LLC6YXFD

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/LLC6YXFDEDSQA6T57RRUFBTJ46 \
  | 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: 5ac5ec5ca320e5007a7dfc63428669e7b8c9b1efe6de7d21b8a6cc88bf788eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d062e12401cc8c1cd440dbd6293f161150b75254f8ac094d55c8637298751a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-16T06:58:01Z",
    "title_canon_sha256": "0e72fae88ce310735e8f77002c2f1196e2e00599de835aa1c96a60b14a347fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04978",
    "kind": "arxiv",
    "version": 3
  }
}