Pith Number

pith:VO5NERRV

pith:2015:VO5NERRVYKAMXQLKUDDV3NQNX6

not attested not anchored not stored refs pending

General multilevel adaptations for stochastic approximation algorithms

Steffen Dereich, Thomas Mueller-Gronbach

arxiv:1506.05482 v2 · 2015-06-17 · 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{VO5NERRVYKAMXQLKUDDV3NQNX6}

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	2026-05-18T00:45:08.687801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abbad24635c280cbc16aa0c75db60dbfbe6f28c1c0eae69320c8ad87183ac92b

Aliases

arxiv: 1506.05482 · arxiv_version: 1506.05482v2 · doi: 10.48550/arxiv.1506.05482 · pith_short_12: VO5NERRVYKAM · pith_short_16: VO5NERRVYKAMXQLK · pith_short_8: VO5NERRV

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/VO5NERRVYKAMXQLKUDDV3NQNX6 \
  | 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: abbad24635c280cbc16aa0c75db60dbfbe6f28c1c0eae69320c8ad87183ac92b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a85c573557fd8394e87802c608665b9af1bec3ae2b42ab0ce2ffb107f13c7af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-17T20:16:56Z",
    "title_canon_sha256": "ce46ed95c044203b8d7a9c698a249890b28b2db8e66075afe31b422b01282141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05482",
    "kind": "arxiv",
    "version": 2
  }
}