Pith Number

pith:J57HINHC

pith:2016:J57HINHCWN7TILF7TZJGX6HGZ5

not attested not anchored not stored refs pending

Brownian motion as limit of the interchange process

Balint Virag, Mustazee Rahman

arxiv:1609.07745 v2 · 2016-09-25 · 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{J57HINHCWN7TILF7TZJGX6HGZ5}

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	2026-05-18T00:51:33.913694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7e7434e2b37f342cbf9e526bf8e6cf7e457624051900170a5f2814788a7c80

Aliases

arxiv: 1609.07745 · arxiv_version: 1609.07745v2 · doi: 10.48550/arxiv.1609.07745 · pith_short_12: J57HINHCWN7T · pith_short_16: J57HINHCWN7TILF7 · pith_short_8: J57HINHC

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/J57HINHCWN7TILF7TZJGX6HGZ5 \
  | 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: 4f7e7434e2b37f342cbf9e526bf8e6cf7e457624051900170a5f2814788a7c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "329dd8b701a8d3416aa1f18193261c3e665105b96c84ea577c270c801f52ae51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-25T14:05:43Z",
    "title_canon_sha256": "f5b809798509025b2a9b6f0c603455d2d7bdf13ff6f376faa2d7e1e20f071939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07745",
    "kind": "arxiv",
    "version": 2
  }
}