Pith Number

pith:MXO25ISC

pith:2024:MXO25ISCDEVGMS67YP2MRFKYWV

not attested not anchored not stored refs pending

Polarized endomorphisms of log Calabi-Yau pairs

Joaqu\'in Moraga, Jos\'e Ignacio Y\'a\~nez, Wern Yeong

arxiv:2406.18092 v2 · 2024-06-26 · 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{MXO25ISCDEVGMS67YP2MRFKYWV}

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

Dynamical Iitaka theory on Fano contractions

Receipt and verification

First computed	2026-07-05T11:55:35.766184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ddaea242192a664bdfc3f4c89558b540a369e1d77d0a663a16b34e0b9889ec

Aliases

arxiv: 2406.18092 · arxiv_version: 2406.18092v2 · doi: 10.48550/arxiv.2406.18092 · pith_short_12: MXO25ISCDEVG · pith_short_16: MXO25ISCDEVGMS67 · pith_short_8: MXO25ISC

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/MXO25ISCDEVGMS67YP2MRFKYWV \
  | 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: 65ddaea242192a664bdfc3f4c89558b540a369e1d77d0a663a16b34e0b9889ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8f193d1dc64f3359f2190571087028fb41b88ab858161b0547f5bea76672d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-26T06:06:21Z",
    "title_canon_sha256": "0cfc4b4be79bcfc0f3e693de69eabceb5f4920fdb2e574d609bd24a07b696f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18092",
    "kind": "arxiv",
    "version": 2
  }
}