Pith Number

pith:3Y4T2AXN

pith:2010:3Y4T2AXNOMKISA5KQHN3562MRN

not attested not anchored not stored refs pending

Extensions of Toric Varieties

Mesut Sahin

arxiv:1009.0382 v2 · 2010-09-02 · math.AC · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Y4T2AXNOMKISA5KQHN3562MRN}

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	2026-05-18T04:18:45.006954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de393d02ed73148903aa81dbbefb4c8b635a04a24ed24014e6b682730618a9e8

Aliases

arxiv: 1009.0382 · arxiv_version: 1009.0382v2 · doi: 10.48550/arxiv.1009.0382 · pith_short_12: 3Y4T2AXNOMKI · pith_short_16: 3Y4T2AXNOMKISA5K · pith_short_8: 3Y4T2AXN

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/3Y4T2AXNOMKISA5KQHN3562MRN \
  | 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: de393d02ed73148903aa81dbbefb4c8b635a04a24ed24014e6b682730618a9e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b648df507a9b2662488439f7058b436f84856d901cc927a483f41e880231b92",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-02T10:39:29Z",
    "title_canon_sha256": "e0192576c756eca0f123ee7e67d90bf7ce9699660745c204cd9819caf55bc506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0382",
    "kind": "arxiv",
    "version": 2
  }
}