Pith Number

pith:TMTOFDR2

pith:2025:TMTOFDR2HLPXLJDD7CVJ3P6XDL

not attested not anchored not stored refs pending

Numerical characterization of the hard Lefschetz classes of dimension two, II: supercritical collections of free divisor classes

Jiajun Hu, Jian Xiao

arxiv:2505.18729 v1 · 2025-05-24 · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMTOFDR2HLPXLJDD7CVJ3P6XDL}

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	2026-07-05T11:09:18.628212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b26e28e3a3adf75a463f8aa9dbfd71ac20414313b0b70e46cd05d06e1e1258c

Aliases

arxiv: 2505.18729 · arxiv_version: 2505.18729v1 · doi: 10.48550/arxiv.2505.18729 · pith_short_12: TMTOFDR2HLPX · pith_short_16: TMTOFDR2HLPXLJDD · pith_short_8: TMTOFDR2

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/TMTOFDR2HLPXLJDD7CVJ3P6XDL \
  | 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: 9b26e28e3a3adf75a463f8aa9dbfd71ac20414313b0b70e46cd05d06e1e1258c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44aa8d895251932f8a2cbadf5540fd2fc41b01f30fc52131a9fb17273d0e5d28",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-24T14:53:30Z",
    "title_canon_sha256": "948eae5a4bc6780ba159f2309bd00f0f113d09f9353ec1d8d9cdea971f3973ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.18729",
    "kind": "arxiv",
    "version": 1
  }
}