Pith Number

pith:Z6YB6ICS

pith:2014:Z6YB6ICSV3S6RYRJDP3Z6L6642

not attested not anchored not stored refs pending

Limit theorems for functionals of Gaussian vectors

Guangjun Shen, Hongshuai Dai, Lingtao Kong

arxiv:1409.1646 v3 · 2014-09-05 · 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{Z6YB6ICSV3S6RYRJDP3Z6L6642}

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	2026-05-18T00:13:22.349731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb01f2052aee5e8e2291bf79f2fdee6b8a4e801cc94ef903c944a0faf3ed784

Aliases

arxiv: 1409.1646 · arxiv_version: 1409.1646v3 · doi: 10.48550/arxiv.1409.1646 · pith_short_12: Z6YB6ICSV3S6 · pith_short_16: Z6YB6ICSV3S6RYRJ · pith_short_8: Z6YB6ICS

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/Z6YB6ICSV3S6RYRJDP3Z6L6642 \
  | 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: cfb01f2052aee5e8e2291bf79f2fdee6b8a4e801cc94ef903c944a0faf3ed784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56a966d44d0660de6b3873a2adbfe72e601a8c97a5ee65b3ec4ec5111f4fab7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-05T02:27:49Z",
    "title_canon_sha256": "12139860d4af58569911844c6b1668f2c7983bc712df6116bfa46b1e4133bcbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1646",
    "kind": "arxiv",
    "version": 3
  }
}