Pith Number

pith:SXGSE7ZT

pith:2010:SXGSE7ZTBNNPHOSBGBYVVRIU4N

not attested not anchored not stored refs pending

Cartier modules on toric varieties

Jen-Chieh Hsiao, Karl Schwede, Wenliang Zhang

arxiv:1011.0804 v3 · 2010-11-03 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXGSE7ZTBNNPHOSBGBYVVRIU4N}

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	2026-05-18T03:58:03.247577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95cd227f330b5af3ba4130715ac514e3600d08cbacfb8be2274b1c5cae19271e

Aliases

arxiv: 1011.0804 · arxiv_version: 1011.0804v3 · doi: 10.48550/arxiv.1011.0804 · pith_short_12: SXGSE7ZTBNNP · pith_short_16: SXGSE7ZTBNNPHOSB · pith_short_8: SXGSE7ZT

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/SXGSE7ZTBNNPHOSBGBYVVRIU4N \
  | 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: 95cd227f330b5af3ba4130715ac514e3600d08cbacfb8be2274b1c5cae19271e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96904fa5d9d2949b435897e53d78a11ec5f2b4e35a4ec14752ed4de965c4704e",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-03T06:26:21Z",
    "title_canon_sha256": "1c569231d18bbe133170ea86a10f2cd24cb8ea2e024ce7e853acf0c843b8d5e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0804",
    "kind": "arxiv",
    "version": 3
  }
}