Pith Number

pith:NTC42IP7

pith:2018:NTC42IP74NNTBJZQCAZI5K43IU

not attested not anchored not stored refs pending

Collapsing K3 surfaces, Tropical geometry and Moduli compactifications of Satake, Morgan-Shalen type

Yoshiki Oshima, Yuji Odaka

arxiv:1810.07685 v2 · 2018-10-17 · math.AG · math.DG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTC42IP74NNTBJZQCAZI5K43IU}

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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

Special Lagrangian submanifolds and circle collapse on K3

Receipt and verification

First computed	2026-07-05T02:56:52.202138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc5cd21ffe35b30a73010328eab9b45343fa9851129a274c2b91e42621f7b38

Aliases

arxiv: 1810.07685 · arxiv_version: 1810.07685v2 · doi: 10.48550/arxiv.1810.07685 · pith_short_12: NTC42IP74NNT · pith_short_16: NTC42IP74NNTBJZQ · pith_short_8: NTC42IP7

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/NTC42IP74NNTBJZQCAZI5K43IU \
  | 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: 6cc5cd21ffe35b30a73010328eab9b45343fa9851129a274c2b91e42621f7b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251d3fcb18a125b9d2c5658845f337cbe801da8b714a5862ccd55bb489ceeca3",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-17T17:49:32Z",
    "title_canon_sha256": "62c10aceba449b8941182808fe6bc8ebf60f7a7e9aa93339d4cd3f14e66f4b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07685",
    "kind": "arxiv",
    "version": 2
  }
}