Pith Number

pith:ZAUDNU5H

pith:2008:ZAUDNU5HKMMC47YGXNATZBCFHF

not attested not anchored not stored refs pending

Refinement Equations and Spline Functions

Art\=uras Dubickas, Zhiqiang Xu

arxiv:0804.2203 v1 · 2008-04-14 · math.NA · cs.NA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAUDNU5HKMMC47YGXNATZBCFHF}

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	2026-06-03T22:06:05.558245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82836d3a753182e7f06bb413c8445395282baa8fce035b4e3eaaccc12b8a9fc

Aliases

arxiv: 0804.2203 · arxiv_version: 0804.2203v1 · doi: 10.48550/arxiv.0804.2203 · pith_short_12: ZAUDNU5HKMMC · pith_short_16: ZAUDNU5HKMMC47YG · pith_short_8: ZAUDNU5H

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/ZAUDNU5HKMMC47YGXNATZBCFHF \
  | 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: c82836d3a753182e7f06bb413c8445395282baa8fce035b4e3eaaccc12b8a9fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72aa65a21aa676b0c7d1d5cc562b5977371d0c147b68037de11a4a0e1f584e0f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-04-14T15:37:59Z",
    "title_canon_sha256": "ee3d36b586e922e6230eabca1fdf05bd6fc85d907d8589ee0026adc617896a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2203",
    "kind": "arxiv",
    "version": 1
  }
}