Pith Number

pith:MUBWILSA

pith:2015:MUBWILSAWK3LTLZQAA27KVRTZL

not attested not anchored not stored refs pending

A de Casteljau Algorithm for Bernstein type Polynomials based on (p,q)-integers

Adem Kilicman, D.K. Lobiyal, Khalid Khan

arxiv:1507.04110 v4 · 2015-07-15 · 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{MUBWILSAWK3LTLZQAA27KVRTZL}

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	2026-05-18T01:26:18.102134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6503642e40b2b6b9af300035f55633cacfd2724153d240da717ff088c86c9429

Aliases

arxiv: 1507.04110 · arxiv_version: 1507.04110v4 · doi: 10.48550/arxiv.1507.04110 · pith_short_12: MUBWILSAWK3L · pith_short_16: MUBWILSAWK3LTLZQ · pith_short_8: MUBWILSA

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/MUBWILSAWK3LTLZQAA27KVRTZL \
  | 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: 6503642e40b2b6b9af300035f55633cacfd2724153d240da717ff088c86c9429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d33c634902f7cdbecb2a4845d4975d3d60fb0f56b31e62a2d5b8cd6c0693408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2015-07-15T07:57:26Z",
    "title_canon_sha256": "aff46e62dff119c6c58445a0b2dedf4a8c78cfd539dc3ddc2a66efec37df0dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04110",
    "kind": "arxiv",
    "version": 4
  }
}