Pith Number

pith:Y5HCD55Q

pith:2026:Y5HCD55QR6UGRGMREDFZ2NABXX

not attested not anchored not stored refs pending

Complete Calabi-Yau metrics on noncompact K3 fibered threefolds

Ruiming Liang

arxiv:2606.13011 v1 · 2026-06-11 · 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{Y5HCD55QR6UGRGMREDFZ2NABXX}

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	2026-06-12T01:09:37.022060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c74e21f7b08fa868999120cb9d3401bdd371c42edc85d4a976a20825d033d18f

Aliases

arxiv: 2606.13011 · arxiv_version: 2606.13011v1 · doi: 10.48550/arxiv.2606.13011 · pith_short_12: Y5HCD55QR6UG · pith_short_16: Y5HCD55QR6UGRGMR · pith_short_8: Y5HCD55Q

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/Y5HCD55QR6UGRGMREDFZ2NABXX \
  | 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: c74e21f7b08fa868999120cb9d3401bdd371c42edc85d4a976a20825d033d18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed0d1860e3d770401041186113b87f1f1a2e8205df3e0a5d695ca3eee6fc74a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-11T07:46:26Z",
    "title_canon_sha256": "0b8af1248b5f1ef7853dc0e17f82cb974b685906f37773a4291cdd7d62ed33cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13011",
    "kind": "arxiv",
    "version": 1
  }
}