Pith Number

pith:XY6M5YG4

pith:2009:XY6M5YG4QFM3NHHSXE2TJVZHVD

not attested not anchored not stored refs pending

Global Torelli Theorem for Teichmuller Spaces of Polarized Calabi-Yau manifolds

Andrey Todorov, Kefeng Liu, Shing-Tung Yau, Xiaofeng Sun

arxiv:0912.5239 v3 · 2009-12-29 · math.AG · hep-th · 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{XY6M5YG4QFM3NHHSXE2TJVZHVD}

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	2026-05-18T04:06:46.354559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3ccee0dc8159b69cf2b93534d727a8e6e1f6866cb6588278c22f91a88760fa

Aliases

arxiv: 0912.5239 · arxiv_version: 0912.5239v3 · doi: 10.48550/arxiv.0912.5239 · pith_short_12: XY6M5YG4QFM3 · pith_short_16: XY6M5YG4QFM3NHHS · pith_short_8: XY6M5YG4

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/XY6M5YG4QFM3NHHSXE2TJVZHVD \
  | 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: be3ccee0dc8159b69cf2b93534d727a8e6e1f6866cb6588278c22f91a88760fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa8d2321b1a4c51cb37accd66fcc5e3ab5973ea7f6f2e1afdd2067823136923",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-29T01:57:18Z",
    "title_canon_sha256": "df725a1f3c0d52cf256d3404353ef323294d1abaf5e715fb1932a66ea7d04c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5239",
    "kind": "arxiv",
    "version": 3
  }
}