Pith Number

pith:ZB4HG32H

pith:2015:ZB4HG32H3EJVDIL7IUACYJRRF7

not attested not anchored not stored refs pending

B$\acute{e}$zier curves based on Lupa\c{s} $(p,q)$-analogue of Bernstein polynomials in CAGD

D.K. Lobiyal, Khalid Khan

arxiv:1505.01810 v5 · 2015-05-07 · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZB4HG32H3EJVDIL7IUACYJRRF7}

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	2026-05-18T01:12:36.324391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c878736f47d91351a17f45002c26312ff1f2fccd9475228d98d2075473e53b6e

Aliases

arxiv: 1505.01810 · arxiv_version: 1505.01810v5 · doi: 10.48550/arxiv.1505.01810 · pith_short_12: ZB4HG32H3EJV · pith_short_16: ZB4HG32H3EJVDIL7 · pith_short_8: ZB4HG32H

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/ZB4HG32H3EJVDIL7IUACYJRRF7 \
  | 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: c878736f47d91351a17f45002c26312ff1f2fccd9475228d98d2075473e53b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cdb3fc29085dcad0fb6a094975494f691384b00af1d4a6338a789fa666e781d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2015-05-07T18:36:37Z",
    "title_canon_sha256": "499872bf39d5ffa6a8444ba4406fa460588d9c6a7136781c9a26ca200ed9f1ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01810",
    "kind": "arxiv",
    "version": 5
  }
}