Pith Number

pith:EWABZZXU

pith:2012:EWABZZXU4G2UPAXPVU4GZV6E7C

not attested not anchored not stored refs pending

Concentration Bounds for Stochastic Approximations

Noufel Frikha (LPMA), Stephane Menozzi

arxiv:1204.3730 v3 · 2012-04-17 · 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{EWABZZXU4G2UPAXPVU4GZV6E7C}

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	2026-05-18T03:38:46.198255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25801ce6f4e1b54782efad386cd7c4f8bc2f28c0a86ed3854602fc91bb37225a

Aliases

arxiv: 1204.3730 · arxiv_version: 1204.3730v3 · doi: 10.48550/arxiv.1204.3730 · pith_short_12: EWABZZXU4G2U · pith_short_16: EWABZZXU4G2UPAXP · pith_short_8: EWABZZXU

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/EWABZZXU4G2UPAXPVU4GZV6E7C \
  | 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: 25801ce6f4e1b54782efad386cd7c4f8bc2f28c0a86ed3854602fc91bb37225a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e7e8fb4bc347aa43f9325aeba6ebbcd0fadfdcb77c27a9c68b969efa1b864c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-17T08:52:35Z",
    "title_canon_sha256": "6076e3285818fc84d774a41f48dcd93dbd741334c2ae6900d744bb79875f7356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3730",
    "kind": "arxiv",
    "version": 3
  }
}