Pith Number

pith:LSZCFNGC

pith:2015:LSZCFNGCVRX4PTKHZVNGLZR6BY

not attested not anchored not stored refs pending

A note on k-very ampleness of line bundles on general blow-ups of hyperelliptic surfaces

Lucja Farnik

arxiv:1506.04372 v1 · 2015-06-14 · 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{LSZCFNGCVRX4PTKHZVNGLZR6BY}

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	2026-05-18T01:18:52.613145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb222b4c2ac6fc7cd47cd5a65e63e0e1144e4ec600722054e6e5cec8a75a5e3

Aliases

arxiv: 1506.04372 · arxiv_version: 1506.04372v1 · doi: 10.48550/arxiv.1506.04372 · pith_short_12: LSZCFNGCVRX4 · pith_short_16: LSZCFNGCVRX4PTKH · pith_short_8: LSZCFNGC

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/LSZCFNGCVRX4PTKHZVNGLZR6BY \
  | 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: 5cb222b4c2ac6fc7cd47cd5a65e63e0e1144e4ec600722054e6e5cec8a75a5e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c787ab6c6fc1ca6c3931a2a18382ec5de5e2038b20f65c66c7cadccf4feab5bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-14T10:02:37Z",
    "title_canon_sha256": "417478980b2dad794c4e47e5869fe128075b9283ac49c5837f78bd406b792a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04372",
    "kind": "arxiv",
    "version": 1
  }
}