Pith Number

pith:JL4EGJSM

pith:2015:JL4EGJSMIUUWSVKAKL7BJ6YM4Z

not attested not anchored not stored refs pending

Section rings of $\mathbb{Q}$-divisors on minimal rational surfaces

Aaron Landesman, Peter Ruhm, Robin Zhang

arxiv:1508.05080 v3 · 2015-08-20 · 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{JL4EGJSMIUUWSVKAKL7BJ6YM4Z}

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	2026-05-17T23:58:08.912562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4af843264c452969554052fe14fb0ce66858c0f4ed817a39ddfebaa8fc3b287f

Aliases

arxiv: 1508.05080 · arxiv_version: 1508.05080v3 · doi: 10.48550/arxiv.1508.05080 · pith_short_12: JL4EGJSMIUUW · pith_short_16: JL4EGJSMIUUWSVKA · pith_short_8: JL4EGJSM

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/JL4EGJSMIUUWSVKAKL7BJ6YM4Z \
  | 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: 4af843264c452969554052fe14fb0ce66858c0f4ed817a39ddfebaa8fc3b287f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14cddf8706cd4504a572158b3d3525d9c1796d42183b73116f44a4478df9f27",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-20T19:31:33Z",
    "title_canon_sha256": "f5f612c27263a49b6e5cf1453f53e3669480ac7a5f0c9653f795c9528c02a615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05080",
    "kind": "arxiv",
    "version": 3
  }
}