Pith Number

pith:MYW7FESI

pith:2017:MYW7FESIHZG7L5TL47QZ7O73QL

not attested not anchored not stored refs pending

Ulrich bundles on non-special surfaces with $p_g=0$ and $q=1$

Gianfranco Casnati

arxiv:1707.06429 v2 · 2017-07-20 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYW7FESIHZG7L5TL47QZ7O73QL}

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	2026-05-18T00:19:49.144531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

662df292483e4df5f66be7e19fbbfb82cf73e1e7774408a8b5bc6f561872fcb8

Aliases

arxiv: 1707.06429 · arxiv_version: 1707.06429v2 · doi: 10.48550/arxiv.1707.06429 · pith_short_12: MYW7FESIHZG7 · pith_short_16: MYW7FESIHZG7L5TL · pith_short_8: MYW7FESI

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/MYW7FESIHZG7L5TL47QZ7O73QL \
  | 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: 662df292483e4df5f66be7e19fbbfb82cf73e1e7774408a8b5bc6f561872fcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8390f70de55be8648cbeb026e0996fec02fe4965435217eab5eeca40d309326a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-20T09:51:20Z",
    "title_canon_sha256": "2b8050509c89611a87a736996c770d198d9d3a7440e752149121f3bb70524706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06429",
    "kind": "arxiv",
    "version": 2
  }
}