Pith Number

pith:TU67AVV3

pith:2013:TU67AVV3FSPDK3DVA4WOGBFN2P

not attested not anchored not stored refs pending

Central limit theorem and exponential tail estimations in hybrid Lebesgue-continuous spaces

E.Ostrovsky, L.Sirota

arxiv:1309.2344 v1 · 2013-09-09 · 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{TU67AVV3FSPDK3DVA4WOGBFN2P}

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	2026-05-18T03:13:45.041837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3df056bb2c9e356c75072ce304add3ddb0e62bdc4fe2a93254558ead7546aa

Aliases

arxiv: 1309.2344 · arxiv_version: 1309.2344v1 · doi: 10.48550/arxiv.1309.2344 · pith_short_12: TU67AVV3FSPD · pith_short_16: TU67AVV3FSPDK3DV · pith_short_8: TU67AVV3

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/TU67AVV3FSPDK3DVA4WOGBFN2P \
  | 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: 9d3df056bb2c9e356c75072ce304add3ddb0e62bdc4fe2a93254558ead7546aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf80d77f2f439e3a181688620dc62458b40e5ec2bbe86ed5fd9132b558a9b2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-09T23:34:58Z",
    "title_canon_sha256": "4de94d7131e6ebec0f7957cfb3aaa0311596d206a1aceaa24ca46b47a8796d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2344",
    "kind": "arxiv",
    "version": 1
  }
}