Pith Number

pith:HR3LX6AU

pith:2011:HR3LX6AUPYL7KBAYTSUNMWGMP4

not attested not anchored not stored refs pending

B\'ezier representation of the constrained dual Bernstein polynomials

Pawe{\l} Wo\'zny, Stanis{\l}aw Lewanowicz

arxiv:1109.1169 v1 · 2011-09-06 · 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{HR3LX6AUPYL7KBAYTSUNMWGMP4}

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	2026-05-18T04:10:47.984430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c76bbf8147e17f504189ca8d658cc7f20378480f76b661d2277513a7ad0669c

Aliases

arxiv: 1109.1169 · arxiv_version: 1109.1169v1 · doi: 10.48550/arxiv.1109.1169 · pith_short_12: HR3LX6AUPYL7 · pith_short_16: HR3LX6AUPYL7KBAY · pith_short_8: HR3LX6AU

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/HR3LX6AUPYL7KBAYTSUNMWGMP4 \
  | 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: 3c76bbf8147e17f504189ca8d658cc7f20378480f76b661d2277513a7ad0669c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c049b04e146ecb433f974dc7a712328eacd7be1e36f6525e421de7e283a63a50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-06T13:14:33Z",
    "title_canon_sha256": "54609f4dae37bebcd4bd789994a331155f297ef44b52e750050a9e4a2eff09d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1169",
    "kind": "arxiv",
    "version": 1
  }
}