Pith Number

pith:LBKP3FBG

pith:2026:LBKP3FBG4NV3UINK7PNPPZ5I4Q

not attested not anchored not stored refs pending

Coherent sheaves on subvarieties in Hopf manifolds

Liviu Ornea, Misha Verbitsky

arxiv:2606.06072 v1 · 2026-06-04 · math.AG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBKP3FBG4NV3UINK7PNPPZ5I4Q}

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	2026-06-05T01:15:32.071294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5854fd9426e36bba21aafbdaf7e7a8e41f0eb7551fa0a9da60b80767dc1f62b1

Aliases

arxiv: 2606.06072 · arxiv_version: 2606.06072v1 · doi: 10.48550/arxiv.2606.06072 · pith_short_12: LBKP3FBG4NV3 · pith_short_16: LBKP3FBG4NV3UINK · pith_short_8: LBKP3FBG

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/LBKP3FBG4NV3UINK7PNPPZ5I4Q \
  | 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: 5854fd9426e36bba21aafbdaf7e7a8e41f0eb7551fa0a9da60b80767dc1f62b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0807883f73204e81114a07744603551d3832a780f83710fccd56635bb603ff49",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-04T12:12:12Z",
    "title_canon_sha256": "ccfb36e5f08c7c2d4ccef044051cf19dda378a3174748dc7b7761655bf3f3b9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06072",
    "kind": "arxiv",
    "version": 1
  }
}