Pith Number

pith:MNBIPXOQ

pith:2023:MNBIPXOQZNEATOGBXTZ5KCO5SN

not attested not anchored not stored refs pending

Fibrations by Lagrangian tori for maximal Calabi-Yau degenerations and beyond

Javier Fern\'andez de Bobadilla, Tomasz Pe{\l}ka

arxiv:2312.13248 v3 · 2023-12-20 · math.AG · math.SG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNBIPXOQZNEATOGBXTZ5KCO5SN}

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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

Almost toric fibrations on K3 surfaces via degenerations

Receipt and verification

First computed	2026-07-05T08:34:09.149056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634287ddd0cb4809b8c1bcf3d509dd936f5341dbd9cf0706375be380626e8584

Aliases

arxiv: 2312.13248 · arxiv_version: 2312.13248v3 · doi: 10.48550/arxiv.2312.13248 · pith_short_12: MNBIPXOQZNEA · pith_short_16: MNBIPXOQZNEATOGB · pith_short_8: MNBIPXOQ

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/MNBIPXOQZNEATOGBXTZ5KCO5SN \
  | 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: 634287ddd0cb4809b8c1bcf3d509dd936f5341dbd9cf0706375be380626e8584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a694a81c505fd5f875b4a35cf7edc2ad18d711967b4d939fc79197fc1ca90ac1",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-12-20T18:24:27Z",
    "title_canon_sha256": "e8c38fd181b9c89b809bd49418d7348557732088dce94574aecfd702165b6042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13248",
    "kind": "arxiv",
    "version": 3
  }
}