Pith Number

pith:DME6OKBU

pith:2020:DME6OKBUTSUAYMBY3FATYZ6WFA

not attested not anchored not stored refs pending

Entropy numbers and Marcinkiewicz-type discretization theorem

A. Prymak, A. Shadrin, F. Dai, S. Tikhonov, V. Temlyakov

arxiv:2001.10636 v1 · 2020-01-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DME6OKBUTSUAYMBY3FATYZ6WFA}

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	2026-07-05T00:37:10.897549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b09e728349ca80c3038d9413c67d628180104882ff73f3529ab1f6bfdf51f5c

Aliases

arxiv: 2001.10636 · arxiv_version: 2001.10636v1 · doi: 10.48550/arxiv.2001.10636 · pith_short_12: DME6OKBUTSUA · pith_short_16: DME6OKBUTSUAYMBY · pith_short_8: DME6OKBU

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/DME6OKBUTSUAYMBY3FATYZ6WFA \
  | 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: 1b09e728349ca80c3038d9413c67d628180104882ff73f3529ab1f6bfdf51f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4282969ee54d5715ef564f9989b476270c36fb747b2af362e569d5e0221e17a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-01-28T23:30:29Z",
    "title_canon_sha256": "762b4e778b28e19c3590353868275410239cc84f582eeb1e489627548b761a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.10636",
    "kind": "arxiv",
    "version": 1
  }
}