Pith Number

pith:HMAKMPIN

pith:2016:HMAKMPINX574NG5UZGISOJPXUN

not attested not anchored not stored refs pending

On Hahn polynomial expansion of a continuous function of bounded variation

Philipp \"Offner, Ren\'e Goertz

arxiv:1610.06748 v1 · 2016-10-21 · 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{HMAKMPINX574NG5UZGISOJPXUN}

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	2026-05-18T01:01:36.823054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b00a63d0dbf7fc69bb4c9912725f7a36ca7dd6e907200b89fb6edd2b7cc652d

Aliases

arxiv: 1610.06748 · arxiv_version: 1610.06748v1 · doi: 10.48550/arxiv.1610.06748 · pith_short_12: HMAKMPINX574 · pith_short_16: HMAKMPINX574NG5U · pith_short_8: HMAKMPIN

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/HMAKMPINX574NG5UZGISOJPXUN \
  | 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: 3b00a63d0dbf7fc69bb4c9912725f7a36ca7dd6e907200b89fb6edd2b7cc652d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40fada6ed7550d34354e74c7bdeaf8e248fbbed7409b78e6773b571e980c333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-21T12:00:11Z",
    "title_canon_sha256": "8300cb6d5580a1e850524304cfbe79b7e84eb2f6504e4f700f55fcac5c5c6b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06748",
    "kind": "arxiv",
    "version": 1
  }
}