Pith Number

pith:3PRBBDJ7

pith:2021:3PRBBDJ7DCRWTWR7KBJKYHF3QH

not attested not anchored not stored refs pending

General Holder Smooth Convergence Rates Follow From Specialized Rates Assuming Growth Bounds

Benjamin Grimmer

arxiv:2104.10196 v2 · 2021-04-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PRBBDJ7DCRWTWR7KBJKYHF3QH}

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	2026-07-05T05:31:10.381840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe2108d3f18a369da3f5052ac1cbb81f42f574d5e9fbf54c95d9bfb0a6e6e70

Aliases

arxiv: 2104.10196 · arxiv_version: 2104.10196v2 · doi: 10.48550/arxiv.2104.10196 · pith_short_12: 3PRBBDJ7DCRW · pith_short_16: 3PRBBDJ7DCRWTWR7 · pith_short_8: 3PRBBDJ7

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/3PRBBDJ7DCRWTWR7KBJKYHF3QH \
  | 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: dbe2108d3f18a369da3f5052ac1cbb81f42f574d5e9fbf54c95d9bfb0a6e6e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e86866ae3442ea364822a877a74bc41c1575e58511730c3cbe88bc71f65fe9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-04-20T18:31:22Z",
    "title_canon_sha256": "9316689d9ab50cf0216ddb2bd74b77f849bb9027e134b19d2382008c07007ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.10196",
    "kind": "arxiv",
    "version": 2
  }
}