Pith Number

pith:4SL6ITVW

pith:2015:4SL6ITVW2AJGTHC77KWMMTEHFH

not attested not anchored not stored refs pending

Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds

Luca Rizzi, Pavel Silveira

arxiv:1509.05410 v3 · 2015-09-17 · math.DG · math.AP · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SL6ITVW2AJGTHC77KWMMTEHFH}

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	2026-05-18T00:41:08.366431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e497e44eb6d012699c5ffaacc64c8729ffd69702b7c7e5635481269ae13ba3a5

Aliases

arxiv: 1509.05410 · arxiv_version: 1509.05410v3 · doi: 10.48550/arxiv.1509.05410 · pith_short_12: 4SL6ITVW2AJG · pith_short_16: 4SL6ITVW2AJGTHC7 · pith_short_8: 4SL6ITVW

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/4SL6ITVW2AJGTHC77KWMMTEHFH \
  | 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: e497e44eb6d012699c5ffaacc64c8729ffd69702b7c7e5635481269ae13ba3a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa17a6fdcb05c6d1bc90d3ad9292ce33c943b8c4563d1e40213c9d2bbbd3714",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-17T20:14:52Z",
    "title_canon_sha256": "9468daadf986ff76f2d8cb778a4ceea2818521ade8067cf21027f920b69fb503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05410",
    "kind": "arxiv",
    "version": 3
  }
}