Pith Number

pith:PQSBPFN2

pith:2022:PQSBPFN2DX7ENC22BRCBAZSHU4

not attested not anchored not stored refs pending

Second largest accumulation point of minimal log discrepancies of threefolds

Jihao Liu, Yujie Luo

arxiv:2207.04610 v1 · 2022-07-11 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQSBPFN2DX7ENC22BRCBAZSHU4}

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

2 papers in Pith

The minimal volume of stable surfaces of rank one

Receipt and verification

First computed	2026-07-05T04:39:01.076159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c241795ba1dfe468b5a0c44106647a700be5202f70c0957059afc56f00778f5

Aliases

arxiv: 2207.04610 · arxiv_version: 2207.04610v1 · doi: 10.48550/arxiv.2207.04610 · pith_short_12: PQSBPFN2DX7E · pith_short_16: PQSBPFN2DX7ENC22 · pith_short_8: PQSBPFN2

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/PQSBPFN2DX7ENC22BRCBAZSHU4 \
  | 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: 7c241795ba1dfe468b5a0c44106647a700be5202f70c0957059afc56f00778f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13342da9a978e9d96af7eef2f66ecb6aa4f129fa08bc67e1b21ca27b99a2fdab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-07-11T04:04:58Z",
    "title_canon_sha256": "5576cb2574548f71b08eb5877380f2a1b395c23e31802c3f9fd89c3cb8f5534b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.04610",
    "kind": "arxiv",
    "version": 1
  }
}