Pith Number

pith:4O4G6XIC

pith:2019:4O4G6XICRDT6CU7BFBY2CKWHSP

not attested not anchored not stored refs pending

Gaussian fluctuation for superdiffusive elephant random walks

Masato Takei, Naoki Kubota

arxiv:1909.02834 v1 · 2019-09-06 · 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{4O4G6XICRDT6CU7BFBY2CKWHSP}

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	2026-07-05T00:21:23.208396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b86f5d0288e7e153e12871a12ac793cdfedef08f5c72df206990fc051fcea6

Aliases

arxiv: 1909.02834 · arxiv_version: 1909.02834v1 · doi: 10.48550/arxiv.1909.02834 · pith_short_12: 4O4G6XICRDT6 · pith_short_16: 4O4G6XICRDT6CU7B · pith_short_8: 4O4G6XIC

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/4O4G6XICRDT6CU7BFBY2CKWHSP \
  | 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: e3b86f5d0288e7e153e12871a12ac793cdfedef08f5c72df206990fc051fcea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00e210c0ad3a6fee19373eaad71f22c87168a6d533ffd95100d7bd2e6ced913",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-09-06T11:51:57Z",
    "title_canon_sha256": "f9af54e5bf57da1af44efeedabeeb07e82e092b63950e05a9e82ced59aa1dec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02834",
    "kind": "arxiv",
    "version": 1
  }
}