Pith Number

pith:XYRPOK5C

pith:2013:XYRPOK5CVKUBRFMRRXCLMGGG76

not attested not anchored not stored refs pending

Whitney's theorem for local anisotropic polynomial L_p-approximation, 0<p<1

Dinh D\~ung, Nguyen Dinh Hoa, Nguyen Van D\~ung

arxiv:1306.2093 v2 · 2013-06-10 · 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{XYRPOK5CVKUBRFMRRXCLMGGG76}

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	2026-05-18T03:20:22.115689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be22f72ba2aaa81895918dc4b618c6ff94abe8172e2c009ee0bee092d8a931f9

Aliases

arxiv: 1306.2093 · arxiv_version: 1306.2093v2 · doi: 10.48550/arxiv.1306.2093 · pith_short_12: XYRPOK5CVKUB · pith_short_16: XYRPOK5CVKUBRFMR · pith_short_8: XYRPOK5C

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/XYRPOK5CVKUBRFMRRXCLMGGG76 \
  | 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: be22f72ba2aaa81895918dc4b618c6ff94abe8172e2c009ee0bee092d8a931f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce2d737a147d5aa2916e6e74afe884072adc0673d1d58d2bad60e55231a2452",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-06-10T03:14:19Z",
    "title_canon_sha256": "ce7e630e759fd9a1504d1411b786256af3a8d10d35f918f5325bba63877ba68c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2093",
    "kind": "arxiv",
    "version": 2
  }
}