Pith Number

pith:5IFCF7DP

pith:2015:5IFCF7DPHWK66DLPEDSMICIZYW

not attested not anchored not stored refs pending

A Central Limit Theorem for Non-Stationary Strongly Mixing Random Fields

Cristina Tone, Richard C. Bradley

arxiv:1512.01310 v1 · 2015-12-04 · 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{5IFCF7DPHWK66DLPEDSMICIZYW}

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	2026-05-18T01:25:17.312290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0a22fc6f3d95ef0d6f20e4c40919c5a430bdbe682eb659f5f41fa542bd103c

Aliases

arxiv: 1512.01310 · arxiv_version: 1512.01310v1 · doi: 10.48550/arxiv.1512.01310 · pith_short_12: 5IFCF7DPHWK6 · pith_short_16: 5IFCF7DPHWK66DLP · pith_short_8: 5IFCF7DP

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/5IFCF7DPHWK66DLPEDSMICIZYW \
  | 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: ea0a22fc6f3d95ef0d6f20e4c40919c5a430bdbe682eb659f5f41fa542bd103c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdeb2ac5d78e159c97e062a333e95f923e7d49485365ce8b4c70c2bf46e4594a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-04T03:46:49Z",
    "title_canon_sha256": "772b6582f105447f89c3d7f2f680bbc1d596dc31495bcd7d62929ae5b24d6607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01310",
    "kind": "arxiv",
    "version": 1
  }
}