Pith Number

pith:JW7KKLQ2

pith:2015:JW7KKLQ2XXUVD6MXHAJGCZJGGH

not attested not anchored not stored refs pending

Laws of the iterated logarithm for symmetric jump processes

Jian Wang, Panki Kim, Takashi Kumagai

arxiv:1504.06210 v2 · 2015-04-23 · 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{JW7KKLQ2XXUVD6MXHAJGCZJGGH}

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	2026-05-18T01:20:26.212851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dbea52e1abde951f997381261652631e979347541b1c4d2c43f6931d4f307dc

Aliases

arxiv: 1504.06210 · arxiv_version: 1504.06210v2 · doi: 10.48550/arxiv.1504.06210 · pith_short_12: JW7KKLQ2XXUV · pith_short_16: JW7KKLQ2XXUVD6MX · pith_short_8: JW7KKLQ2

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/JW7KKLQ2XXUVD6MXHAJGCZJGGH \
  | 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: 4dbea52e1abde951f997381261652631e979347541b1c4d2c43f6931d4f307dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7550be71934455787a971ba25f53c67894440014d714d093f7747ebf2f87b9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-23T14:49:58Z",
    "title_canon_sha256": "0d6b60be4f6f2017097758f1fe77eb1e212a4d1f076df0632c46d712db58c80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06210",
    "kind": "arxiv",
    "version": 2
  }
}