Pith Number

pith:USX7BJQY

pith:2019:USX7BJQYZ253DYZOH4YQTYW4FR

not attested not anchored not stored refs pending

Quaternionic stochastic areas

Fabrice Baudoin, Jing Wang, Nizar Demni

arxiv:1903.00727 v2 · 2019-03-02 · math.PR · 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{USX7BJQYZ253DYZOH4YQTYW4FR}

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	2026-05-17T23:51:41.591419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4aff0a618cebbb1e32e3f3109e2dc2c63e675b875eea8714bbbcdf3a2bc849f

Aliases

arxiv: 1903.00727 · arxiv_version: 1903.00727v2 · doi: 10.48550/arxiv.1903.00727 · pith_short_12: USX7BJQYZ253 · pith_short_16: USX7BJQYZ253DYZO · pith_short_8: USX7BJQY

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/USX7BJQYZ253DYZOH4YQTYW4FR \
  | 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: a4aff0a618cebbb1e32e3f3109e2dc2c63e675b875eea8714bbbcdf3a2bc849f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55591c2e57573710a422e0c427b803dc8b67f53d3cd6803eba83102953a3d9df",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-02T15:59:00Z",
    "title_canon_sha256": "c332123851188846b8ecbbe18bbe5e41b3ec12102ff6db143b755b62ba0102f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00727",
    "kind": "arxiv",
    "version": 2
  }
}