Pith Number

pith:Z2ZYXLZQ

pith:2011:Z2ZYXLZQZM7ERMERIRCCUXCVM3

not attested not anchored not stored refs pending

Super Landau-Ginzburg mirrors and algebraic cycles

Alexander Noll, Ludmil Katzarkov, Maximilian Kreuzer, Richard S. Garavuso

arxiv:1101.1368 v3 · 2011-01-07 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2ZYXLZQZM7ERMERIRCCUXCVM3}

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	2026-05-18T02:23:00.266974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb38baf30cb3e48b09144442a5c5566d3cb8035e137c66eeae1c95ed2b764e4

Aliases

arxiv: 1101.1368 · arxiv_version: 1101.1368v3 · doi: 10.48550/arxiv.1101.1368 · pith_short_12: Z2ZYXLZQZM7E · pith_short_16: Z2ZYXLZQZM7ERMER · pith_short_8: Z2ZYXLZQ

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/Z2ZYXLZQZM7ERMERIRCCUXCVM3 \
  | 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: ceb38baf30cb3e48b09144442a5c5566d3cb8035e137c66eeae1c95ed2b764e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9049f205d2264605049c43d8c7516c2414e198d4eb8d00d3e9931599e215598c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-01-07T07:32:22Z",
    "title_canon_sha256": "38ab6b3cf3620282520aec7862d8de73ab3da7677008a50dceb8579d2f7b5c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1368",
    "kind": "arxiv",
    "version": 3
  }
}