Pith Number

pith:PPVAYYHE

pith:2015:PPVAYYHEDGWHKUNZ35LARRI4FC

not attested not anchored not stored refs pending

Chern slopes of surfaces of general type in positive characteristic

Giancarlo Urz\'ua, Rodrigo Codorniu

arxiv:1509.05260 v2 · 2015-09-17 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPVAYYHEDGWHKUNZ35LARRI4FC}

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	2026-05-18T00:47:15.817765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bea0c60e419ac7551b9df5608c51c28981884752856775786ee5d52b70d3c92

Aliases

arxiv: 1509.05260 · arxiv_version: 1509.05260v2 · doi: 10.48550/arxiv.1509.05260 · pith_short_12: PPVAYYHEDGWH · pith_short_16: PPVAYYHEDGWHKUNZ · pith_short_8: PPVAYYHE

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/PPVAYYHEDGWHKUNZ35LARRI4FC \
  | 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: 7bea0c60e419ac7551b9df5608c51c28981884752856775786ee5d52b70d3c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485e1f5ef57e624168f107633c6231fff6db2677fa02670cbe318beb6d2e42b6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-17T13:56:41Z",
    "title_canon_sha256": "96899ca17cdfb2ae8289f60a37c6767b3fee6056d2f7702773cc867b3c845aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05260",
    "kind": "arxiv",
    "version": 2
  }
}