Pith Number

pith:T3S7LUXR

pith:2016:T3S7LUXRJEIDAYYDCE5DMTJCTR

not attested not anchored not stored refs pending

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling

Andrei Agrachev, Luca Rizzi, Robert Neel, Ugo Boscain

arxiv:1601.03304 v3 · 2016-01-13 · math.DG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3S7LUXRJEIDAYYDCE5DMTJCTR}

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	2026-05-18T00:44:38.998292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee5f5d2f14910306303113a364d229c73a7f1adbd90a6b0079452c0222831a1

Aliases

arxiv: 1601.03304 · arxiv_version: 1601.03304v3 · doi: 10.48550/arxiv.1601.03304 · pith_short_12: T3S7LUXRJEID · pith_short_16: T3S7LUXRJEIDAYYD · pith_short_8: T3S7LUXR

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/T3S7LUXRJEIDAYYDCE5DMTJCTR \
  | 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: 9ee5f5d2f14910306303113a364d229c73a7f1adbd90a6b0079452c0222831a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68d0b79e8aec9e5b300c7029422d97ff5256cf2dd06365bd05f20ac61ca06fa",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-13T16:33:29Z",
    "title_canon_sha256": "c8e1bca652b556c0b8345ac151ea446e628e05192d6aa1877a496c0444089009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03304",
    "kind": "arxiv",
    "version": 3
  }
}