Pith Number

pith:3DHLTPDL

pith:2016:3DHLTPDLIS2Z7AVYCYLNXO3WNV

not attested not anchored not stored refs pending

Orthogonality of divisorial Zariski decompositions for classes with volume zero

Valentino Tosatti

arxiv:1606.05243 v1 · 2016-06-16 · math.CV · 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{3DHLTPDLIS2Z7AVYCYLNXO3WNV}

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	2026-05-17T23:51:39.971384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ceb9bc6b44b59f82b81616dbbb766d660a753946697ead1d6e64ba32c160b7

Aliases

arxiv: 1606.05243 · arxiv_version: 1606.05243v1 · doi: 10.48550/arxiv.1606.05243 · pith_short_12: 3DHLTPDLIS2Z · pith_short_16: 3DHLTPDLIS2Z7AVY · pith_short_8: 3DHLTPDL

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/3DHLTPDLIS2Z7AVYCYLNXO3WNV \
  | 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: d8ceb9bc6b44b59f82b81616dbbb766d660a753946697ead1d6e64ba32c160b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eba81eb6542e03006978a8a94ff29de8f51d7c58aefada3cc094dd230d690f2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-06-16T16:16:50Z",
    "title_canon_sha256": "f5116dde8db95adad53247ca97b569d6986302108aaf4b2145c8a5b7032a77d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05243",
    "kind": "arxiv",
    "version": 1
  }
}