Pith Number

pith:27LCGQOH

pith:2012:27LCGQOHI2I4DKXVERG3TNMCVJ

not attested not anchored not stored refs pending

On the structure of co-K\"ahler manifolds

Giovanni Bazzoni, John Oprea

arxiv:1209.3373 v2 · 2012-09-15 · 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{27LCGQOHI2I4DKXVERG3TNMCVJ}

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	2026-05-18T03:27:13.814588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d62341c74691c1aaf5244db9b582aa7bd1974dcd5933153458a8d177896006

Aliases

arxiv: 1209.3373 · arxiv_version: 1209.3373v2 · doi: 10.48550/arxiv.1209.3373 · pith_short_12: 27LCGQOHI2I4 · pith_short_16: 27LCGQOHI2I4DKXV · pith_short_8: 27LCGQOH

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/27LCGQOHI2I4DKXVERG3TNMCVJ \
  | 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: d7d62341c74691c1aaf5244db9b582aa7bd1974dcd5933153458a8d177896006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdff9834761aa019627d753d61a19d423c1dd04bfaf81bb11596fc63ce485abb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-15T08:56:27Z",
    "title_canon_sha256": "1b38401c37431223556072542bd36219341fb57e5f336c352af2f7d007a0b239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3373",
    "kind": "arxiv",
    "version": 2
  }
}