Pith Number

pith:VDPVIJAN

pith:2010:VDPVIJANG4B6M5XG47EPRQZY5F

not attested not anchored not stored refs pending

Berglund-H\"ubsch mirror symmetry via vertex algebras

Lev A. Borisov

arxiv:1007.2633 v4 · 2010-07-15 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDPVIJANG4B6M5XG47EPRQZY5F}

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.

Cited by

2 papers in Pith

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Beyond Algebraic Superstring Compactification: Part II

Receipt and verification

First computed	2026-05-18T04:09:53.782285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8df54240d3703e676e6e7c8f8c338e94b4e496b20d92c2653c2078a69e0294d

Aliases

arxiv: 1007.2633 · arxiv_version: 1007.2633v4 · doi: 10.48550/arxiv.1007.2633 · pith_short_12: VDPVIJANG4B6 · pith_short_16: VDPVIJANG4B6M5XG · pith_short_8: VDPVIJAN

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/VDPVIJANG4B6M5XG47EPRQZY5F \
  | 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: a8df54240d3703e676e6e7c8f8c338e94b4e496b20d92c2653c2078a69e0294d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf67e7cd4851dd6ec1fad956639c5a7d073c4413d7864fb9d6f403ff7b5fd0ee",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-15T18:59:32Z",
    "title_canon_sha256": "6289dba12cc1d44ae78563e2685c1bb1e6142158b9813c3c0ab1525f5462c7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2633",
    "kind": "arxiv",
    "version": 4
  }
}