Pith Number

pith:PAEZ6SUC

pith:2012:PAEZ6SUCBWROAODA536JTYGYA6

not attested not anchored not stored refs pending

A quenched invariance principle for stationary processes

Christophe Cuny, Dalibor Volny

arxiv:1202.4875 v1 · 2012-02-22 · 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{PAEZ6SUCBWROAODA536JTYGYA6}

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	2026-05-18T04:01:40.355602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78099f4a820da2e03860eefc99e0d807a177dd853175e7d53c3ffbd44acd74a2

Aliases

arxiv: 1202.4875 · arxiv_version: 1202.4875v1 · doi: 10.48550/arxiv.1202.4875 · pith_short_12: PAEZ6SUCBWRO · pith_short_16: PAEZ6SUCBWROAODA · pith_short_8: PAEZ6SUC

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/PAEZ6SUCBWROAODA536JTYGYA6 \
  | 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: 78099f4a820da2e03860eefc99e0d807a177dd853175e7d53c3ffbd44acd74a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce73b034c56357d763c054900b2f02c237752c01f9d7808430629a3a8ded4a82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-22T10:48:27Z",
    "title_canon_sha256": "eebb2685e86d8ff743969aa77d9d50f56be587afed3ad1bca5f662d37bc68129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4875",
    "kind": "arxiv",
    "version": 1
  }
}