Pith Number

pith:32BIRR2G

pith:2013:32BIRR2GTRYYCSK7UNLLJLA6N5

not attested not anchored not stored refs pending

Limit theorems for power variations of ambit fields driven by white noise

Mikko S. Pakkanen

arxiv:1301.2107 v4 · 2013-01-10 · 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{32BIRR2GTRYYCSK7UNLLJLA6N5}

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	2026-05-18T02:44:57.011015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de8288c7469c7181495fa356b4ac1e6f5e813e233e7527dc693023b9c91ce5e8

Aliases

arxiv: 1301.2107 · arxiv_version: 1301.2107v4 · doi: 10.48550/arxiv.1301.2107 · pith_short_12: 32BIRR2GTRYY · pith_short_16: 32BIRR2GTRYYCSK7 · pith_short_8: 32BIRR2G

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/32BIRR2GTRYYCSK7UNLLJLA6N5 \
  | 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: de8288c7469c7181495fa356b4ac1e6f5e813e233e7527dc693023b9c91ce5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81fa4f8280a862663d444e800a56df24913bfabb75223a214abe4d040851d199",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-10T12:58:37Z",
    "title_canon_sha256": "16ab75c8f8e8b9807f75dcd4fb09bf3c8c6a6001ae3c77dfc76b06d8e2820ef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2107",
    "kind": "arxiv",
    "version": 4
  }
}