Pith Number

pith:VLZ6BEV6

pith:2018:VLZ6BEV6F3OVI4KFNRA4JGSJEJ

not attested not anchored not stored refs pending

A local Blaschke-Petkantschin formula in a Riemannian manifold

Aur\'elie Chapron

arxiv:1807.07384 v1 · 2018-07-19 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLZ6BEV6F3OVI4KFNRA4JGSJEJ}

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	2026-05-18T00:10:20.277767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaf3e092be2edd5471456c41c49a49227dcd22966a142d9d889cdf32a6e2f115

Aliases

arxiv: 1807.07384 · arxiv_version: 1807.07384v1 · doi: 10.48550/arxiv.1807.07384 · pith_short_12: VLZ6BEV6F3OV · pith_short_16: VLZ6BEV6F3OVI4KF · pith_short_8: VLZ6BEV6

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/VLZ6BEV6F3OVI4KFNRA4JGSJEJ \
  | 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: aaf3e092be2edd5471456c41c49a49227dcd22966a142d9d889cdf32a6e2f115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0904d707133bf2189ee6dfc50f8f19ac29c7e5e39f96b81fed49ecd100b6e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-19T13:17:56Z",
    "title_canon_sha256": "94b7992791f4432b52fc51e8eb7b56980b1eda1e8ff761b52208a9216661229c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07384",
    "kind": "arxiv",
    "version": 1
  }
}