Pith Number

pith:JOBLK636

pith:2019:JOBLK636BNGFBGGZF7MXD2VJ2L

not attested not anchored not stored refs pending

Geometry of quintics in $\mathbb P^3$ and the Craighero-Gattazzo surface of general type

Kalyan Banerjee

arxiv:1906.09617 v1 · 2019-06-23 · 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{JOBLK636BNGFBGGZF7MXD2VJ2L}

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	2026-05-17T23:42:37.339962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b82b57b7e0b4c5098d92fd971eaa9d2c9b88e45b0f706d38098a478dd97a7c3

Aliases

arxiv: 1906.09617 · arxiv_version: 1906.09617v1 · doi: 10.48550/arxiv.1906.09617 · pith_short_12: JOBLK636BNGF · pith_short_16: JOBLK636BNGFBGGZ · pith_short_8: JOBLK636

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/JOBLK636BNGFBGGZF7MXD2VJ2L \
  | 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: 4b82b57b7e0b4c5098d92fd971eaa9d2c9b88e45b0f706d38098a478dd97a7c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c3c7a0bea0b6f2b97850a9ec1b3f947ee011e0981e3737204004197b58c99d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-23T17:56:34Z",
    "title_canon_sha256": "340b6445f17d0e4e58dee1925a05c1393a0970aacd361dc4a1cf3e840c666607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09617",
    "kind": "arxiv",
    "version": 1
  }
}