Pith Number

pith:DBEDE7C3

pith:2009:DBEDE7C3NFQ7HHJJMV6SEMOX7D

not attested not anchored not stored refs pending

Hyperbolic geometry and non-Kahler manifolds with trivial canonical bundle

Dmitri Panov, Joel Fine

arxiv:0905.3237 v4 · 2009-05-20 · math.SG · 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{DBEDE7C3NFQ7HHJJMV6SEMOX7D}

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	2026-05-18T00:48:06.161849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1848327c5b6961f39d29657d2231d7f8cbb8f491518487594560951c26852b41

Aliases

arxiv: 0905.3237 · arxiv_version: 0905.3237v4 · doi: 10.48550/arxiv.0905.3237 · pith_short_12: DBEDE7C3NFQ7 · pith_short_16: DBEDE7C3NFQ7HHJJ · pith_short_8: DBEDE7C3

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/DBEDE7C3NFQ7HHJJMV6SEMOX7D \
  | 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: 1848327c5b6961f39d29657d2231d7f8cbb8f491518487594560951c26852b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3355d389b6605f17747bab1877189391dada5151924c03f7e5249b3d7b7d3087",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2009-05-20T08:21:33Z",
    "title_canon_sha256": "25d7d93d672a11da304d89129605e5f7bfc1029463a7c18bf55d6fc045271752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3237",
    "kind": "arxiv",
    "version": 4
  }
}