Pith Number

pith:OSJ4CAIZ

pith:2026:OSJ4CAIZIZNU2LLVLVA25I5RUO

not attested not anchored not stored refs pending

A klt generalized pair with infinitely generated canonical ring

Jihao Liu, Yanze Wang

arxiv:2608.03258 v1 · 2026-08-04 · 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{OSJ4CAIZIZNU2LLVLVA25I5RUO}

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	2026-08-05T00:46:26.108588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7493c10119465b4d2d755d41aea3b1a3b7a4f29e68cc99545b22d510683dbfda

Aliases

arxiv: 2608.03258 · arxiv_version: 2608.03258v1 · doi: 10.48550/arxiv.2608.03258 · pith_short_12: OSJ4CAIZIZNU · pith_short_16: OSJ4CAIZIZNU2LLV · pith_short_8: OSJ4CAIZ

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/OSJ4CAIZIZNU2LLVLVA25I5RUO \
  | 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: 7493c10119465b4d2d755d41aea3b1a3b7a4f29e68cc99545b22d510683dbfda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333eb71a4502642a0d31d10599b26f53f1db649a7cc8a1c1fdee6191a0c7b8e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-04T07:31:15Z",
    "title_canon_sha256": "549aea21bcaf08d8e68956f90c43c7b981e253d77e913d2a178362935bfe2453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03258",
    "kind": "arxiv",
    "version": 1
  }
}