Pith Number

pith:ZYST6GYO

pith:2013:ZYST6GYOCCDC7OZOCB6HYH5SAM

not attested not anchored not stored refs pending

On the slope of hyperelliptic fibrations with positive relative irregularity

Kang Zuo, Xin Lu

arxiv:1311.7271 v4 · 2013-11-28 · 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{ZYST6GYOCCDC7OZOCB6HYH5SAM}

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	2026-05-18T02:27:29.462095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce253f1b0e10862fbb2e107c7c1fb20321553c7e6db0d985fab1012b26dbb225

Aliases

arxiv: 1311.7271 · arxiv_version: 1311.7271v4 · doi: 10.48550/arxiv.1311.7271 · pith_short_12: ZYST6GYOCCDC · pith_short_16: ZYST6GYOCCDC7OZO · pith_short_8: ZYST6GYO

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/ZYST6GYOCCDC7OZOCB6HYH5SAM \
  | 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: ce253f1b0e10862fbb2e107c7c1fb20321553c7e6db0d985fab1012b26dbb225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47f6da12b3b0ae5de951e31ec1dacf1ba5b84484d50aeac48b16c6f124e1682",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-28T10:54:55Z",
    "title_canon_sha256": "68a1351df5c7cd3baa76fd2ce94e3bb58be01d21590039b06a83f7e13808b62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7271",
    "kind": "arxiv",
    "version": 4
  }
}