Pith Number

pith:QKZQNWQA

pith:2016:QKZQNWQA73QXR6FCW6ERWKQDGC

not attested not anchored not stored refs pending

Sparse Accelerated Exponential Weights

Olivier Wintenberger, Pierre Gaillard

arxiv:1610.05022 v1 · 2016-10-17 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKZQNWQA73QXR6FCW6ERWKQDGC}

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	2026-05-18T01:02:06.426332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b306da00fee178f8a2b7891b2a03309d1a33fda26927213b9026fd40dd2e77

Aliases

arxiv: 1610.05022 · arxiv_version: 1610.05022v1 · doi: 10.48550/arxiv.1610.05022 · pith_short_12: QKZQNWQA73QX · pith_short_16: QKZQNWQA73QXR6FC · pith_short_8: QKZQNWQA

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/QKZQNWQA73QXR6FCW6ERWKQDGC \
  | 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: 82b306da00fee178f8a2b7891b2a03309d1a33fda26927213b9026fd40dd2e77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e543e24e25e138c07d1cbc5bf97312f4e6a9929c9a013d31c981b791d1ca0a29",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-10-17T09:14:34Z",
    "title_canon_sha256": "8ced42e4a2fb411a89b93737871da04aa9f3969eeec1093da5035d1dc9356e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05022",
    "kind": "arxiv",
    "version": 1
  }
}