Pith Number

pith:5CFRUV3N

pith:2012:5CFRUV3NFXL3NFOIPIROKNW7F7

not attested not anchored not stored refs pending

Efficient simulation of density and probability of large deviations of sum of random vectors using saddle point representations

Ankush Agarwal, Sandeep Juneja, Santanu Dey

arxiv:1203.0817 v2 · 2012-03-05 · 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{5CFRUV3NFXL3NFOIPIROKNW7F7}

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	2026-05-18T00:45:52.669270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88b1a576d2dd7b695c87a22e536df2ff5ac6d0053ab56cf4a6285ab1715dca3

Aliases

arxiv: 1203.0817 · arxiv_version: 1203.0817v2 · doi: 10.48550/arxiv.1203.0817 · pith_short_12: 5CFRUV3NFXL3 · pith_short_16: 5CFRUV3NFXL3NFOI · pith_short_8: 5CFRUV3N

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/5CFRUV3NFXL3NFOIPIROKNW7F7 \
  | 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: e88b1a576d2dd7b695c87a22e536df2ff5ac6d0053ab56cf4a6285ab1715dca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c813ef40335afc57e1d2b09c14df4b2a948ca48fedde303d774da2087f4f0c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-05T05:36:37Z",
    "title_canon_sha256": "3191450fc85bfe8b52ce7fdb91ccba36b0f6f27935e85342a1bfc8a3b70cdb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0817",
    "kind": "arxiv",
    "version": 2
  }
}