Pith Number

pith:S25XHE3N

pith:2026:S25XHE3NGRAL5SFNQMFCNOGMNF

not attested not anchored not stored refs pending

Boundedness of total Cartier indices for rational singularities in families

Jihao Liu, Ruicheng Hu, Sheng Qin

arxiv:2605.22782 v1 · 2026-05-21 · 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{S25XHE3NGRAL5SFNQMFCNOGMNF}

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	2026-05-22T02:04:54.640852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96bb73936d3440bec8ad830a26b8cc697518ac79b57603c133cddb25d0c8d637

Aliases

arxiv: 2605.22782 · arxiv_version: 2605.22782v1 · doi: 10.48550/arxiv.2605.22782 · pith_short_12: S25XHE3NGRAL · pith_short_16: S25XHE3NGRAL5SFN · pith_short_8: S25XHE3N

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/S25XHE3NGRAL5SFNQMFCNOGMNF \
  | 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: 96bb73936d3440bec8ad830a26b8cc697518ac79b57603c133cddb25d0c8d637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5b94a3b45d552c36aae04c4ca48d65100ffdc3aae84eccd5e6dbb70a8d99e63",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T17:36:42Z",
    "title_canon_sha256": "192c1971349db4507e566e184bba70a426f974dcfed9165d67067a9588c7590d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22782",
    "kind": "arxiv",
    "version": 1
  }
}