Pith Number

pith:GZGAVTB4

pith:2019:GZGAVTB4YG6VU54WLI3UQ3YOHC

not attested not anchored not stored refs pending

On the cohomology of rank two vector bundles on P2 and a theorem of Chiantini and Valabrega

Philippe Ellia

arxiv:1901.00807 v1 · 2019-01-03 · 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{GZGAVTB4YG6VU54WLI3UQ3YOHC}

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	2026-05-17T23:57:01.195096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364c0acc3cc1bd5a77965a37486f0e388cd49162bb523bc5618f24f04df577ea

Aliases

arxiv: 1901.00807 · arxiv_version: 1901.00807v1 · doi: 10.48550/arxiv.1901.00807 · pith_short_12: GZGAVTB4YG6V · pith_short_16: GZGAVTB4YG6VU54W · pith_short_8: GZGAVTB4

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/GZGAVTB4YG6VU54WLI3UQ3YOHC \
  | 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: 364c0acc3cc1bd5a77965a37486f0e388cd49162bb523bc5618f24f04df577ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c02f913a68d024dcf4e712369c76768be0072cda4198d05076fb5f37c810ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-03T16:33:07Z",
    "title_canon_sha256": "e6b94956ae3e471c7ef4e39bfa1d5674b920240277be2fbda7c3dfdab4bc9945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00807",
    "kind": "arxiv",
    "version": 1
  }
}