Pith Number

pith:MTMUT2XI

pith:2019:MTMUT2XIPRMTN5SHJFR5IWSXJS

not attested not anchored not stored refs pending

Smoothing pairs over degenerate Calabi-Yau varieties

Kwokwai Chan, Ziming Nikolas Ma

arxiv:1910.08256 v2 · 2019-10-18 · 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{MTMUT2XIPRMTN5SHJFR5IWSXJS}

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

Smoothing toroidal crossing spaces

Receipt and verification

First computed	2026-07-05T03:58:43.562258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d949eae87c5936f6474963d45a574c926594f66bdf5bbe66fb65d1278c6bda

Aliases

arxiv: 1910.08256 · arxiv_version: 1910.08256v2 · doi: 10.48550/arxiv.1910.08256 · pith_short_12: MTMUT2XIPRMT · pith_short_16: MTMUT2XIPRMTN5SH · pith_short_8: MTMUT2XI

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/MTMUT2XIPRMTN5SHJFR5IWSXJS \
  | 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: 64d949eae87c5936f6474963d45a574c926594f66bdf5bbe66fb65d1278c6bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f39900c6ac65e2238738b7f5b741a239923053a36d695e0505fe7f75c2e09f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-10-18T04:41:13Z",
    "title_canon_sha256": "d53601b5c6bf9a7ed2ca647e8434606a7834c85f54f448a1177d760b8a9f5c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08256",
    "kind": "arxiv",
    "version": 2
  }
}