Pith Number

pith:5PZBH2E5

pith:2015:5PZBH2E5NO6MAWV4CTFXE2CWHH

not attested not anchored not stored refs pending

Complete intersection varieties with ample cotangent bundles

Damian Brotbek, Lionel Darondeau

arxiv:1511.04709 v2 · 2015-11-15 · 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{5PZBH2E5NO6MAWV4CTFXE2CWHH}

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.

Cited by

1 paper in Pith

Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two

Receipt and verification

First computed	2026-05-18T00:28:32.665334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf213e89d6bbcc05abc14cb72685639f429ae9a3c82f36090da1bb1474064bd

Aliases

arxiv: 1511.04709 · arxiv_version: 1511.04709v2 · doi: 10.48550/arxiv.1511.04709 · pith_short_12: 5PZBH2E5NO6M · pith_short_16: 5PZBH2E5NO6MAWV4 · pith_short_8: 5PZBH2E5

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/5PZBH2E5NO6MAWV4CTFXE2CWHH \
  | 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: ebf213e89d6bbcc05abc14cb72685639f429ae9a3c82f36090da1bb1474064bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f380e5b7d32f79f5a154d198ab429e924a2ece140216871b043332e90fff8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-15T15:10:14Z",
    "title_canon_sha256": "88bb7988c28f20d7412a763fbf94633aba1f4ecf1ddf366a3cbf15c0d967ef2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04709",
    "kind": "arxiv",
    "version": 2
  }
}