Pith Number

pith:VLY3MDBL

pith:2014:VLY3MDBLPHKH47OOETZ2XMUG6V

not attested not anchored not stored refs pending

Holomorphic vector bundles on K\"ahler manifolds and totally geodesic foliations on Euclidean open domains

Marian Aprodu, Monica Alice Aprodu

arxiv:1409.3701 v1 · 2014-09-12 · math.DG · 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{VLY3MDBLPHKH47OOETZ2XMUG6V}

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	2026-05-18T02:28:11.619049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf1b60c2b79d47e7dce24f3abb286f5601ed8eac0743d7d55ebff14508809c5

Aliases

arxiv: 1409.3701 · arxiv_version: 1409.3701v1 · doi: 10.48550/arxiv.1409.3701 · pith_short_12: VLY3MDBLPHKH · pith_short_16: VLY3MDBLPHKH47OO · pith_short_8: VLY3MDBL

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/VLY3MDBLPHKH47OOETZ2XMUG6V \
  | 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: aaf1b60c2b79d47e7dce24f3abb286f5601ed8eac0743d7d55ebff14508809c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397a5aa8272139ee24027c14fa8a68726617755dc0792c6b66b73fa1afd2c809",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-12T11:20:15Z",
    "title_canon_sha256": "08c47f783b3a4eab292fff0c7d65a57f7c642d8be82a8b2e472ca84d4526e0b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3701",
    "kind": "arxiv",
    "version": 1
  }
}