Pith Number

pith:DS7Q3YO4

pith:2013:DS7Q3YO4OUXDOG7HATJA7V76JI

not attested not anchored not stored refs pending

On Zariski Decomposition with and without support

Roberto Laface

arxiv:1306.4697 v2 · 2013-06-19 · 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{DS7Q3YO4OUXDOG7HATJA7V76JI}

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	2026-05-18T03:16:48.916637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cbf0de1dc752e371be704d20fd7fe4a31e87d58f3d0dcce9d237210c5af85cb

Aliases

arxiv: 1306.4697 · arxiv_version: 1306.4697v2 · doi: 10.48550/arxiv.1306.4697 · pith_short_12: DS7Q3YO4OUXD · pith_short_16: DS7Q3YO4OUXDOG7H · pith_short_8: DS7Q3YO4

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/DS7Q3YO4OUXDOG7HATJA7V76JI \
  | 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: 1cbf0de1dc752e371be704d20fd7fe4a31e87d58f3d0dcce9d237210c5af85cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d62654699a81274dce5f39bd5925a88199a9697d19a6cd1446fc211def8756",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-19T20:41:45Z",
    "title_canon_sha256": "ab30995498a776f9fff5af724185cc460cc4fc730b2f63f58c5cd69aae36f2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4697",
    "kind": "arxiv",
    "version": 2
  }
}