Pith Number

pith:Z2W7UPSJ

pith:2011:Z2W7UPSJQ4UF6RJYR7ITY5DDOW

not attested not anchored not stored refs pending

Toric Representation and Positive Cone of Picard Group and Deformation Space in Mirror Symmetry of Calabi-Yau Hypersurfaces in Toric Varieties

Shi-shyr Roan

arxiv:1106.2323 v1 · 2011-06-12 · 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{Z2W7UPSJQ4UF6RJYR7ITY5DDOW}

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	2026-05-18T04:20:06.007123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceadfa3e4987285f45388fd13c746375975fdcb12c887ce5b913aeaaebf7b510

Aliases

arxiv: 1106.2323 · arxiv_version: 1106.2323v1 · doi: 10.48550/arxiv.1106.2323 · pith_short_12: Z2W7UPSJQ4UF · pith_short_16: Z2W7UPSJQ4UF6RJY · pith_short_8: Z2W7UPSJ

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/Z2W7UPSJQ4UF6RJYR7ITY5DDOW \
  | 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: ceadfa3e4987285f45388fd13c746375975fdcb12c887ce5b913aeaaebf7b510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799cc6218b8ac1c6a67ea140c90a72ef0630019592ef8971c39ae4dd05dd2c27",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-12T16:43:06Z",
    "title_canon_sha256": "fe24b7c6f06614fec905a7dc62a22dc99b3f122fb383a65b7a9646d3a4688478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2323",
    "kind": "arxiv",
    "version": 1
  }
}