Pith Number

pith:JSANZMTC

pith:2012:JSANZMTC5ASZBFR2ZILJ3YCFE6

not attested not anchored not stored refs pending

Brownian motion in the quadrant with oblique repulsion from the sides

Dominique L\'epingle (MAPMO)

arxiv:1208.6399 v2 · 2012-08-31 · 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{JSANZMTC5ASZBFR2ZILJ3YCFE6}

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	2026-05-18T03:33:49.859516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c80dcb262e82590963aca169de04527bf1e15c549de7f99c70a35f777a0aa41

Aliases

arxiv: 1208.6399 · arxiv_version: 1208.6399v2 · doi: 10.48550/arxiv.1208.6399 · pith_short_12: JSANZMTC5ASZ · pith_short_16: JSANZMTC5ASZBFR2 · pith_short_8: JSANZMTC

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/JSANZMTC5ASZBFR2ZILJ3YCFE6 \
  | 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: 4c80dcb262e82590963aca169de04527bf1e15c549de7f99c70a35f777a0aa41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ccc88cebc098a36fc1efb0f5f564d2b954a73fb8eb9cdd135e9b3a9c8e7f6fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-31T06:42:01Z",
    "title_canon_sha256": "a196203d07cd6efe2d4225dad6eba24113c6de747b2f01610cc27b8e72aa1fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6399",
    "kind": "arxiv",
    "version": 2
  }
}