Pith Number

pith:25D5P4GM

pith:2011:25D5P4GMCWGOSY7DIZARKCDMZ6

not attested not anchored not stored refs pending

Discrepancy of generalized Hammersley type point sets in Besov spaces of dominating mixed smoothness

Lev Markhasin

arxiv:1109.4548 v4 · 2011-09-21 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25D5P4GMCWGOSY7DIZARKCDMZ6}

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	2026-05-18T02:58:46.806160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d747d7f0cc158ce963e3464115086ccf9a29a45ef493fb5665a6d33f4a3b887a

Aliases

arxiv: 1109.4548 · arxiv_version: 1109.4548v4 · doi: 10.48550/arxiv.1109.4548 · pith_short_12: 25D5P4GMCWGO · pith_short_16: 25D5P4GMCWGOSY7D · pith_short_8: 25D5P4GM

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/25D5P4GMCWGOSY7DIZARKCDMZ6 \
  | 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: d747d7f0cc158ce963e3464115086ccf9a29a45ef493fb5665a6d33f4a3b887a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0e63c24bf71d15e60cdd2e13b48171eefac6dc364012389774b9297e3f8522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-21T14:50:55Z",
    "title_canon_sha256": "ec7f5b4a8eeaaff5f5e57df5dc8c7370a325bf9b6ad3a47c28e2fcada0a05da6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4548",
    "kind": "arxiv",
    "version": 4
  }
}