Pith Number

pith:LHDXGWED

pith:2012:LHDXGWEDC4BD2O7QGMUOXIYMOS

not attested not anchored not stored refs pending

A quenched weak invariance principle

Florence Merlev\`ede, J\'er\^ome Dedecker, Magda Peligrad

arxiv:1204.4554 v2 · 2012-04-20 · 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{LHDXGWEDC4BD2O7QGMUOXIYMOS}

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	2026-05-18T03:31:45.009569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c773588317023d3bf03328eba30c74af676743a70adcde477d826c1230c42f

Aliases

arxiv: 1204.4554 · arxiv_version: 1204.4554v2 · doi: 10.48550/arxiv.1204.4554 · pith_short_12: LHDXGWEDC4BD · pith_short_16: LHDXGWEDC4BD2O7Q · pith_short_8: LHDXGWED

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/LHDXGWEDC4BD2O7QGMUOXIYMOS \
  | 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: 59c773588317023d3bf03328eba30c74af676743a70adcde477d826c1230c42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb69d0f9328761cd5227f74b7461310709e8bf610384e1eb2ed002707ddfb3c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-20T07:57:53Z",
    "title_canon_sha256": "7c6f19bff35a29f8063daf5bcf9f0b34961f1e8ccd4376e3f6d835f8c79cd0bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4554",
    "kind": "arxiv",
    "version": 2
  }
}