Pith Number

pith:QP4343EK

pith:2025:QP4343EKVOLNVXINYIDFHYG7SS

not attested not anchored not stored refs pending

A note on the diameter of small sub-Riemannian balls

Davide Vittone, Gianluca Somma, Marco Di Marco

arxiv:2505.02790 v2 · 2025-05-05 · math.OC · 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{QP4343EKVOLNVXINYIDFHYG7SS}

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	2026-06-19T16:10:29.721734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f9be6c8aab96dadd0dc20653e0df948043dda6cfc13aa1e8ddd82ec753ad91

Aliases

arxiv: 2505.02790 · arxiv_version: 2505.02790v2 · doi: 10.48550/arxiv.2505.02790 · pith_short_12: QP4343EKVOLN · pith_short_16: QP4343EKVOLNVXIN · pith_short_8: QP4343EK

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/QP4343EKVOLNVXINYIDFHYG7SS \
  | 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: 83f9be6c8aab96dadd0dc20653e0df948043dda6cfc13aa1e8ddd82ec753ad91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272583b367eecc8081db38c6ceb6c527e6934321a0810dab1793fe2b61528a31",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-05T17:04:02Z",
    "title_canon_sha256": "6cd4cf49b115c4035e0bf26671de0b3a61c87b80d17ab70ca2448d245e2e610c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02790",
    "kind": "arxiv",
    "version": 2
  }
}