Pith Number

pith:FME5SX3I

pith:2011:FME5SX3I23V6KRC4CPBSAG46IA

not attested not anchored not stored refs pending

Mirror symmetry between orbifold curves and cusp singularities with group action

Atsushi Takahashi, Wolfgang Ebeling

arxiv:1103.5367 v2 · 2011-03-28 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FME5SX3I23V6KRC4CPBSAG46IA}

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

1 paper in Pith

Beyond Algebraic Superstring Compactification: Part II

Receipt and verification

First computed	2026-05-18T04:23:33.002453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b09d95f68d6ebe5445c13c3201b9e403237bea46aa5467aa3922c638589f73f

Aliases

arxiv: 1103.5367 · arxiv_version: 1103.5367v2 · doi: 10.48550/arxiv.1103.5367 · pith_short_12: FME5SX3I23V6 · pith_short_16: FME5SX3I23V6KRC4 · pith_short_8: FME5SX3I

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/FME5SX3I23V6KRC4CPBSAG46IA \
  | 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: 2b09d95f68d6ebe5445c13c3201b9e403237bea46aa5467aa3922c638589f73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9944fe52d99e2ed8d6dd36ef3e1b9a49c47f7b7e4ebbc7aa685d228ea4e75a6b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-28T14:20:41Z",
    "title_canon_sha256": "4456cc249150f6fb78c261b65840d7f3aaad6bb30d73442ce91aa95e7865492c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5367",
    "kind": "arxiv",
    "version": 2
  }
}