Pith Number

pith:5HEAL4SJ

pith:2011:5HEAL4SJTRPVJICZCRJMICXVDT

not attested not anchored not stored refs pending

Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions

Yilmaz Simsek

arxiv:1111.4880 v1 · 2011-11-21 · 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{5HEAL4SJTRPVJICZCRJMICXVDT}

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	2026-05-18T00:00:37.431605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c805f2499c5f54a0591452c40af51cf49d65b2f346347eb3db63037bbb5c35

Aliases

arxiv: 1111.4880 · arxiv_version: 1111.4880v1 · doi: 10.48550/arxiv.1111.4880 · pith_short_12: 5HEAL4SJTRPV · pith_short_16: 5HEAL4SJTRPVJICZ · pith_short_8: 5HEAL4SJ

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/5HEAL4SJTRPVJICZCRJMICXVDT \
  | 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: e9c805f2499c5f54a0591452c40af51cf49d65b2f346347eb3db63037bbb5c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7af3340a02652ef627dd77622d4cf2aca1445aa0f9e535061dbe9ed5ad380cc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-21T14:25:09Z",
    "title_canon_sha256": "c871c502492af127c7e04769ed977ca87d88df681303779ded579345b66183c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4880",
    "kind": "arxiv",
    "version": 1
  }
}