Pith Number

pith:ZCVJ4Y5L

pith:2015:ZCVJ4Y5LKEHTHNO2V44B2TW4UB

not attested not anchored not stored refs pending

On the Severi type inequalities for irregular surfaces

Kang Zuo, Xin Lu

arxiv:1504.06569 v2 · 2015-04-24 · 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{ZCVJ4Y5LKEHTHNO2V44B2TW4UB}

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	2026-05-18T02:17:44.638545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8aa9e63ab510f33b5daaf381d4edca05058e53c6f20094ad9c9f1f36734c55e

Aliases

arxiv: 1504.06569 · arxiv_version: 1504.06569v2 · doi: 10.48550/arxiv.1504.06569 · pith_short_12: ZCVJ4Y5LKEHT · pith_short_16: ZCVJ4Y5LKEHTHNO2 · pith_short_8: ZCVJ4Y5L

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/ZCVJ4Y5LKEHTHNO2V44B2TW4UB \
  | 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: c8aa9e63ab510f33b5daaf381d4edca05058e53c6f20094ad9c9f1f36734c55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6997189c2e1061fa0a92e85b8f10debebb83ebc8a07502a99dfd56d4a86cba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-24T17:02:46Z",
    "title_canon_sha256": "e02f4d9363eb157b12b4aae1a47b659987f9d32ba62ecf0cd48eb8aeab7ef4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06569",
    "kind": "arxiv",
    "version": 2
  }
}