Pith Number

pith:CKCM3M7A

pith:2011:CKCM3M7ATTMT5SINQXECUIGQSD

not attested not anchored not stored refs pending

Picard Groups of Hypersurfaces in Toric Varieties

Shi-shyr Roan

arxiv:1106.1615 v1 · 2011-06-08 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKCM3M7ATTMT5SINQXECUIGQSD}

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	2026-05-18T04:17:02.321463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1284cdb3e09cd93ec90d85c82a20d090e8c546c6967aa22a139a4534b69565af

Aliases

arxiv: 1106.1615 · arxiv_version: 1106.1615v1 · doi: 10.48550/arxiv.1106.1615 · pith_short_12: CKCM3M7ATTMT · pith_short_16: CKCM3M7ATTMT5SIN · pith_short_8: CKCM3M7A

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/CKCM3M7ATTMT5SINQXECUIGQSD \
  | 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: 1284cdb3e09cd93ec90d85c82a20d090e8c546c6967aa22a139a4534b69565af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d877a4f5beba61c25b5a43a47134b868dfc9aa7455afeaedee4c9a2c940783",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-08T18:24:42Z",
    "title_canon_sha256": "6150fc1ad5acf0ebb0d88b409f2115dd76d718cb9c42d21ff14341f7dec820ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1615",
    "kind": "arxiv",
    "version": 1
  }
}