Pith Number

pith:VKNBZYNI

pith:2010:VKNBZYNIJKE6HI3HRCJIDCEXTD

not attested not anchored not stored refs pending

Convergence of vector bundles with metrics of Sasaki-type

Pedro Sol\'orzano

arxiv:1011.0513 v2 · 2010-11-02 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKNBZYNIJKE6HI3HRCJIDCEXTD}

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	2026-05-18T02:18:52.189619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9a1ce1a84a89e3a367889281889798e425caf667a77de8cfb46f140a0c56e6

Aliases

arxiv: 1011.0513 · arxiv_version: 1011.0513v2 · doi: 10.48550/arxiv.1011.0513 · pith_short_12: VKNBZYNIJKE6 · pith_short_16: VKNBZYNIJKE6HI3H · pith_short_8: VKNBZYNI

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/VKNBZYNIJKE6HI3HRCJIDCEXTD \
  | 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: aa9a1ce1a84a89e3a367889281889798e425caf667a77de8cfb46f140a0c56e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76d2a373e6bfe9e8407cc267bc35e0df1f7b2ccf447b7266e2a931598136bad",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-02T05:22:26Z",
    "title_canon_sha256": "5eddb71e10e1c3adccdd195b7ceb5c19f7715cb04912c22a2f59163c0ba58060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0513",
    "kind": "arxiv",
    "version": 2
  }
}