Pith Number

pith:CEL4EHU3

pith:2010:CEL4EHU3M633UA42AO3WIR7AC5

not attested not anchored not stored refs pending

Restricted volumes and divisorial Zariski decompositions

Shin-ichi Matsumura

arxiv:1005.1503 v2 · 2010-05-10 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEL4EHU3M633UA42AO3WIR7AC5}

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	2026-05-18T03:36:25.418936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1117c21e9b67b7ba039a03b76447e0177c7eb4848b3dedc04c776ee299f5d4f1

Aliases

arxiv: 1005.1503 · arxiv_version: 1005.1503v2 · doi: 10.48550/arxiv.1005.1503 · pith_short_12: CEL4EHU3M633 · pith_short_16: CEL4EHU3M633UA42 · pith_short_8: CEL4EHU3

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/CEL4EHU3M633UA42AO3WIR7AC5 \
  | 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: 1117c21e9b67b7ba039a03b76447e0177c7eb4848b3dedc04c776ee299f5d4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99739961f4adc321e4d6156c78c14cd449439242d6d8e7b7d34014a3a02c7b01",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-10T11:44:43Z",
    "title_canon_sha256": "ce526905861f4b1f9af084ed15117f63a10ec01004b25b2e33e5d3ed1abebf03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1503",
    "kind": "arxiv",
    "version": 2
  }
}