Pith Number

pith:CXICS4XF

pith:2019:CXICS4XF4CNKZLLZCXNZR5SAOU

not attested not anchored not stored refs pending

On birational boundedness of foliated surfaces

Adrian Langer, Christopher D. Hacon

arxiv:1910.07709 v3 · 2019-10-17 · 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{CXICS4XF4CNKZLLZCXNZR5SAOU}

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	2026-07-05T09:59:10.359382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d02972e5e09aacad7915db98f640753743130e62c30f1bfad521e230f09e83

Aliases

arxiv: 1910.07709 · arxiv_version: 1910.07709v3 · doi: 10.48550/arxiv.1910.07709 · pith_short_12: CXICS4XF4CNK · pith_short_16: CXICS4XF4CNKZLLZ · pith_short_8: CXICS4XF

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/CXICS4XF4CNKZLLZCXNZR5SAOU \
  | 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: 15d02972e5e09aacad7915db98f640753743130e62c30f1bfad521e230f09e83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007cd06772f4199b95bb1a92a72af8762b0aac7ef25f056b1fc5a9a6fae8c11f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-10-17T04:58:43Z",
    "title_canon_sha256": "2d8473fdded3c00ff4b3555c1267e7f9a5b141c68d8ea4f42b2d3fbfe85feef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.07709",
    "kind": "arxiv",
    "version": 3
  }
}