Pith Number

pith:UPRN57PB

pith:2015:UPRN57PBYUAOWOITUGPPJNDF3D

not attested not anchored not stored refs pending

B\'ezier form of dual bivariate Bernstein polynomials

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

arxiv:1510.08246 v4 · 2015-10-28 · 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{UPRN57PBYUAOWOITUGPPJNDF3D}

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	2026-05-18T01:01:44.919795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e2defde1c500eb3913a19ef4b465d8f7b48834eb576a6ccf0ec2cecf8eb58d

Aliases

arxiv: 1510.08246 · arxiv_version: 1510.08246v4 · doi: 10.48550/arxiv.1510.08246 · pith_short_12: UPRN57PBYUAO · pith_short_16: UPRN57PBYUAOWOIT · pith_short_8: UPRN57PB

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/UPRN57PBYUAOWOITUGPPJNDF3D \
  | 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: a3e2defde1c500eb3913a19ef4b465d8f7b48834eb576a6ccf0ec2cecf8eb58d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16a5ed66178475843ed40e912e549a863dc9b2bbcbca6e5b351a34b2ec44a04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-28T10:09:10Z",
    "title_canon_sha256": "a18b80be285d162a954da0b717dec278f1ce961d1cc00669cd200d005f9a882e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08246",
    "kind": "arxiv",
    "version": 4
  }
}