Pith Number

pith:USHSEM3Z

pith:2022:USHSEM3ZH77C3GXEY72HAATBAT

not attested not anchored not stored refs pending

K-stable smooth Fano threefolds of Picard rank two

Elena Denisova, Ivan Cheltsov, Kento Fujita

arxiv:2210.14770 v2 · 2022-10-26 · 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{USHSEM3ZH77C3GXEY72HAATBAT}

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

$\delta$-invariants of log Fano planes

Receipt and verification

First computed	2026-07-05T07:33:48.016811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48f2233793ffe2d9ae4c7f470026104c72e8a0e19e92fd6114ab5783065395f

Aliases

arxiv: 2210.14770 · arxiv_version: 2210.14770v2 · doi: 10.48550/arxiv.2210.14770 · pith_short_12: USHSEM3ZH77C · pith_short_16: USHSEM3ZH77C3GXE · pith_short_8: USHSEM3Z

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/USHSEM3ZH77C3GXEY72HAATBAT \
  | 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: a48f2233793ffe2d9ae4c7f470026104c72e8a0e19e92fd6114ab5783065395f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161a491fe5e25e00dd73a985b4de98f543e017a8dbf6bad3000c2c64c078b0dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-10-26T15:10:08Z",
    "title_canon_sha256": "2397981230177e022259db7b9f80e1edd57b29013d2ec191d0060bbce6094c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.14770",
    "kind": "arxiv",
    "version": 2
  }
}