Pith Number

pith:Y3SMSSTJ

pith:2012:Y3SMSSTJOV23ZGGT4MOHX4JP47

not attested not anchored not stored refs pending

Sharp large deviation results for sums of independent random variables

Ion Grama, Quansheng Liu, Xiequan Fan

arxiv:1206.2592 v6 · 2012-06-12 · 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{Y3SMSSTJOV23ZGGT4MOHX4JP47}

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	2026-05-18T01:37:05.995696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e4c94a697575bc98d3e31c7bf12fe7e46a39af5ba90bdb8a88348ef43138c6

Aliases

arxiv: 1206.2592 · arxiv_version: 1206.2592v6 · doi: 10.48550/arxiv.1206.2592 · pith_short_12: Y3SMSSTJOV23 · pith_short_16: Y3SMSSTJOV23ZGGT · pith_short_8: Y3SMSSTJ

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/Y3SMSSTJOV23ZGGT4MOHX4JP47 \
  | 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: c6e4c94a697575bc98d3e31c7bf12fe7e46a39af5ba90bdb8a88348ef43138c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b70d0b9aa0c00126bc9258d1dcbf3f4c5a391c06ed6ae5f600da7bcffd6dd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-12T17:07:13Z",
    "title_canon_sha256": "84e6051728d92dfa906119e0f0656682db948fb876fedb84d75712e9d69de1fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2592",
    "kind": "arxiv",
    "version": 6
  }
}