Pith Number

pith:L7A4R6YP

pith:2024:L7A4R6YPREQJIPAP33GFGCCD4C

not attested not anchored not stored refs pending

Birational complexity of log Calabi-Yau 3-folds

Joaqu\'in Moraga

arxiv:2405.18516 v1 · 2024-05-28 · 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{L7A4R6YPREQJIPAP33GFGCCD4C}

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

Calabi-Yau pairs of complexity two

Receipt and verification

First computed	2026-07-05T08:24:26.415959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc1c8fb0f8920943c0fdecc530843e0b3db6d048cf436d269ce7787556feaab

Aliases

arxiv: 2405.18516 · arxiv_version: 2405.18516v1 · doi: 10.48550/arxiv.2405.18516 · pith_short_12: L7A4R6YPREQJ · pith_short_16: L7A4R6YPREQJIPAP · pith_short_8: L7A4R6YP

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/L7A4R6YPREQJIPAP33GFGCCD4C \
  | 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: 5fc1c8fb0f8920943c0fdecc530843e0b3db6d048cf436d269ce7787556feaab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b84059f1cd1c8b3fdfe8e40a753ab005aaf24030d24fbe18f34dd39c1b5173d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-28T18:36:15Z",
    "title_canon_sha256": "01e037db89be9ab20c436bac17795bbbcb4abb50c3506a355dc4ddeab51e055c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.18516",
    "kind": "arxiv",
    "version": 1
  }
}