Pith Number

pith:FTCSH6JK

pith:2023:FTCSH6JK47T3X46NNHB2THDJBO

not attested not anchored not stored refs pending

Limit theorems for functionals of long memory linear processes with infinite variance

Fangjun Xu, Hui Liu, Yudan Xiong

arxiv:2304.02528 v2 · 2023-04-05 · 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{FTCSH6JK47T3X46NNHB2THDJBO}

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	2026-07-05T06:52:46.633282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cc523f92ae7e7bbf3cd69c3a99c690bab8545809d58302165c01dd0eddd7bee

Aliases

arxiv: 2304.02528 · arxiv_version: 2304.02528v2 · doi: 10.48550/arxiv.2304.02528 · pith_short_12: FTCSH6JK47T3 · pith_short_16: FTCSH6JK47T3X46N · pith_short_8: FTCSH6JK

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/FTCSH6JK47T3X46NNHB2THDJBO \
  | 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: 2cc523f92ae7e7bbf3cd69c3a99c690bab8545809d58302165c01dd0eddd7bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4abd7429d2b375c3bf52ed6f66cd1c89c4d6ba95e01abad3c3ad321bd41c3695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-04-05T15:49:21Z",
    "title_canon_sha256": "b888ff441280ccd32fedefdccefa3b9e52622767f1b309726152acb3cfab4ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.02528",
    "kind": "arxiv",
    "version": 2
  }
}