Pith Number

pith:XONBDYMM

pith:2010:XONBDYMMF6DQRG42SU45X2UC2T

not attested not anchored not stored refs pending

A note on homological mirror symmetry for singularities of type D

Kazushi Ueda, Masahiro Futaki

arxiv:1004.0078 v1 · 2010-04-01 · math.SG · 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{XONBDYMMF6DQRG42SU45X2UC2T}

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.

Receipt and verification

First computed	2026-05-18T02:24:18.377403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb9a11e18c2f87089b9a9539dbea82d4fab7408ee6a070bfc706c5eef0c75f48

Aliases

arxiv: 1004.0078 · arxiv_version: 1004.0078v1 · doi: 10.48550/arxiv.1004.0078 · pith_short_12: XONBDYMMF6DQ · pith_short_16: XONBDYMMF6DQRG42 · pith_short_8: XONBDYMM

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/XONBDYMMF6DQRG42SU45X2UC2T \
  | 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: bb9a11e18c2f87089b9a9539dbea82d4fab7408ee6a070bfc706c5eef0c75f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77b189a41c199e3c3e7f085c80bd76e915e6a9d23ec736e9ec914290c57762b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-04-01T08:13:11Z",
    "title_canon_sha256": "b1786fd1116f2b6fc9c2e04395cb2386633255a462a4b73897e52d123fa5c979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0078",
    "kind": "arxiv",
    "version": 1
  }
}