Pith Number

pith:F4C6ASMM

pith:2010:F4C6ASMM3FLNL4LDUNI5PGTYOG

not attested not anchored not stored refs pending

Homological Mirror Symmetry for manifolds of general type

Anton Kapustin, Dmitri Orlov, Ludmil Katzarkov, Mirroslav Yotov

arxiv:1004.0129 v3 · 2010-04-01 · math.AG · hep-th · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4C6ASMM3FLNL4LDUNI5PGTYOG}

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	2026-05-18T02:24:18.238131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f05e0498cd956d5f163a351d79a78719965c7036c7eb7f063add27c5be47e02

Aliases

arxiv: 1004.0129 · arxiv_version: 1004.0129v3 · doi: 10.48550/arxiv.1004.0129 · pith_short_12: F4C6ASMM3FLN · pith_short_16: F4C6ASMM3FLNL4LD · pith_short_8: F4C6ASMM

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/F4C6ASMM3FLNL4LDUNI5PGTYOG \
  | 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: 2f05e0498cd956d5f163a351d79a78719965c7036c7eb7f063add27c5be47e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ac33c856716b1373a9813005eb69721e8b755068d25f1a602522fd60b1864c",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-04-01T13:34:30Z",
    "title_canon_sha256": "177a0bec1f061e257142533e969a6ce56522bb18637f5df14833e17eade95066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0129",
    "kind": "arxiv",
    "version": 3
  }
}