Pith Number

pith:VSP56OBP

pith:2012:VSP56OBP7UWEPTK223PGCN2EBQ

not attested not anchored not stored refs pending

A Chernoff-type Lower Bound for the Gaussian Q-function

Fran\c{c}ois D. C\^ot\'e, Ioannis N. Psaromiligkos, Warren J. Gross

arxiv:1202.6483 v2 · 2012-02-29 · 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{VSP56OBP7UWEPTK223PGCN2EBQ}

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.

Cited by

1 paper in Pith

Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models

Receipt and verification

First computed	2026-05-18T03:59:28.848298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9fdf382ffd2c47cd5ad6de6137440c1cc3a8dec594561d4d807013edab8e5d

Aliases

arxiv: 1202.6483 · arxiv_version: 1202.6483v2 · doi: 10.48550/arxiv.1202.6483 · pith_short_12: VSP56OBP7UWE · pith_short_16: VSP56OBP7UWEPTK2 · pith_short_8: VSP56OBP

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/VSP56OBP7UWEPTK223PGCN2EBQ \
  | 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: ac9fdf382ffd2c47cd5ad6de6137440c1cc3a8dec594561d4d807013edab8e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995f134313243d0fecfeef256d81ad1004b3cb59d4520372aaa6bffe5a113d7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-29T08:47:53Z",
    "title_canon_sha256": "2bf3a18eba62998bbdf09297caa79e7f3bf048a927625a07fa316d793d7cd0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6483",
    "kind": "arxiv",
    "version": 2
  }
}