Pith Number

pith:PG5M3RWO

pith:2025:PG5M3RWOCFSH6W4UMISHD3HTGN

not attested not anchored not stored refs pending

Lifting Frobenius splittings through geometric vertex decomposition

Elisa Gorla, Emanuela De Negri, Jenna Rajchgot, Lisa Seccia, Patricia Klein

arxiv:2509.04364 v1 · 2025-09-04 · math.AC · 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{PG5M3RWOCFSH6W4UMISHD3HTGN}

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	2026-07-05T12:04:58.320590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bacdc6ce11647f5b94622471ecf3334900cf39036ef8e5d1bd4f795b9b6dd5

Aliases

arxiv: 2509.04364 · arxiv_version: 2509.04364v1 · doi: 10.48550/arxiv.2509.04364 · pith_short_12: PG5M3RWOCFSH · pith_short_16: PG5M3RWOCFSH6W4U · pith_short_8: PG5M3RWO

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/PG5M3RWOCFSH6W4UMISHD3HTGN \
  | 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: 79bacdc6ce11647f5b94622471ecf3334900cf39036ef8e5d1bd4f795b9b6dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971ca7eea6d54656db1d3ba2b5cf406626c69bad6e0d2910982fd5c7e50434a0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-09-04T16:24:31Z",
    "title_canon_sha256": "6e1d91e87822ac709f60127d90f66215133daf7ed30b5d18b4b4164f8027ba18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04364",
    "kind": "arxiv",
    "version": 1
  }
}