Pith Number

pith:4ODYPAPU

pith:2005:4ODYPAPUPDOAYFIW6CREK4FSNV

not attested not anchored not stored refs pending

Hodge theory on nearly Kaehler manifolds

Misha Verbitsky

arxiv:math/0510618 v8 · 2005-10-28 · math.DG · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ODYPAPUPDOAYFIW6CREK4FSNV}

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	2026-05-18T03:57:13.168623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3878781f478dc0c1516f0a24570b26d4c589951bddce97dd61e5315b7b6f3c3

Aliases

arxiv: math/0510618 · arxiv_version: math/0510618v8 · doi: 10.48550/arxiv.math/0510618 · pith_short_12: 4ODYPAPUPDOA · pith_short_16: 4ODYPAPUPDOAYFIW · pith_short_8: 4ODYPAPU

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/4ODYPAPUPDOAYFIW6CREK4FSNV \
  | 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: e3878781f478dc0c1516f0a24570b26d4c589951bddce97dd61e5315b7b6f3c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9acf5a1237d78fd178d2d7426c6e3d5545748e6c7aa948f7201a5869f354d5",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2005-10-28T03:02:11Z",
    "title_canon_sha256": "a5efa1fb96b10a70f59ba30f8945eca9c600a2ca8bb431f0f83c5b8d2279d44e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510618",
    "kind": "arxiv",
    "version": 8
  }
}