Pith Number

pith:BYRBAS4B

pith:2021:BYRBAS4B75UY63R7GZ26A3PIVY

not attested not anchored not stored refs pending

Sampling discretization of the uniform norm

Boris Kashin, Sergei Konyagin, Vladimir Temlyakov

arxiv:2104.01229 v3 · 2021-04-02 · math.NA · cs.NA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYRBAS4B75UY63R7GZ26A3PIVY}

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	2026-07-05T03:39:58.048067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e22104b81ff698f6e3f3675e06de8ae3a562a54323a2d3b458069e6819f6d43

Aliases

arxiv: 2104.01229 · arxiv_version: 2104.01229v3 · doi: 10.48550/arxiv.2104.01229 · pith_short_12: BYRBAS4B75UY · pith_short_16: BYRBAS4B75UY63R7 · pith_short_8: BYRBAS4B

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/BYRBAS4B75UY63R7GZ26A3PIVY \
  | 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: 0e22104b81ff698f6e3f3675e06de8ae3a562a54323a2d3b458069e6819f6d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4552aa138241194874d9b4729413a23727b09889644bab92462ead6cf6bb2826",
    "cross_cats_sorted": [
      "cs.NA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-04-02T20:14:05Z",
    "title_canon_sha256": "858a74f0d0d878bb9b347ed0c1f4cebd492697648ec83b4a686550cdd0a2af66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.01229",
    "kind": "arxiv",
    "version": 3
  }
}