Pith Number

pith:SPUPD7WT

pith:2019:SPUPD7WTJVDOBADQ4O3XOKRGNP

not attested not anchored not stored refs pending

Mukai duality on K3 surfaces from the differential geometric perspective

Yang Li

arxiv:1908.05017 v1 · 2019-08-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPUPD7WTJVDOBADQ4O3XOKRGNP}

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

Mukai duality on adiabatic coassociative fibrations

Receipt and verification

First computed	2026-07-04T23:55:59.193254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e8f1fed34d46e08070e3b7772a266bcb016876cdfccd510c283614bd4f7b59

Aliases

arxiv: 1908.05017 · arxiv_version: 1908.05017v1 · doi: 10.48550/arxiv.1908.05017 · pith_short_12: SPUPD7WTJVDO · pith_short_16: SPUPD7WTJVDOBADQ · pith_short_8: SPUPD7WT

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/SPUPD7WTJVDOBADQ4O3XOKRGNP \
  | 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: 93e8f1fed34d46e08070e3b7772a266bcb016876cdfccd510c283614bd4f7b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704e128c8eeaff82b4f96fa68bafec87a6d8120479f985c01ac485d019dfddbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-14T08:44:16Z",
    "title_canon_sha256": "782a0bee5ff01bbe4d1046b7fe1130995043f65d1708d8be014052c9e3be77d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05017",
    "kind": "arxiv",
    "version": 1
  }
}