Pith Number

pith:RLL2BP3J

pith:2012:RLL2BP3JYMHCLUSINKNIL7MTK3

not attested not anchored not stored refs pending

Bernstein-type approximation of set-valued functions in the symmetric difference metric

Nira Dyn, Shay Kels

arxiv:1209.2502 v2 · 2012-09-12 · math.NA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLL2BP3JYMHCLUSINKNIL7MTK3}

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	2026-05-18T03:39:44.405764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ad7a0bf69c30e25d2486a9a85fd9356d70355b916f0db0d7ef3c28729612a72

Aliases

arxiv: 1209.2502 · arxiv_version: 1209.2502v2 · doi: 10.48550/arxiv.1209.2502 · pith_short_12: RLL2BP3JYMHC · pith_short_16: RLL2BP3JYMHCLUSI · pith_short_8: RLL2BP3J

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/RLL2BP3JYMHCLUSINKNIL7MTK3 \
  | 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: 8ad7a0bf69c30e25d2486a9a85fd9356d70355b916f0db0d7ef3c28729612a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14360cd9937c8fc8b4711f494a4b712e518e72e897008f6cc965acb48a808562",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-12T06:14:58Z",
    "title_canon_sha256": "babba1edbf0f7e5a98e4032d0de66cf2e8e855e2c5618483bfcb20f96feb656c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2502",
    "kind": "arxiv",
    "version": 2
  }
}