Pith Number

pith:ELZK5PJB

pith:2009:ELZK5PJB245WAKG4FZRF4M4VR3

not attested not anchored not stored refs pending

The Lookup Technique to Replace Nested-IF Formulas in Spreadsheet Programming

Jan Gustavson, Ozgur Ozluk, Thomas A. Grossman

arxiv:0908.1188 v1 · 2009-08-08 · cs.SE · cs.HC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELZK5PJB245WAKG4FZRF4M4VR3}

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	2026-05-18T04:28:28.373282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f2aebd21d73b6028dc2e625e33958ef83d6ec7c99131053f170ddee5901937

Aliases

arxiv: 0908.1188 · arxiv_version: 0908.1188v1 · doi: 10.48550/arxiv.0908.1188 · pith_short_12: ELZK5PJB245W · pith_short_16: ELZK5PJB245WAKG4 · pith_short_8: ELZK5PJB

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/ELZK5PJB245WAKG4FZRF4M4VR3 \
  | 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: 22f2aebd21d73b6028dc2e625e33958ef83d6ec7c99131053f170ddee5901937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3c0507a33468c532e9950f2db0e6a038e4a9db45203b87345ce9823b3794b7",
    "cross_cats_sorted": [
      "cs.HC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2009-08-08T20:53:04Z",
    "title_canon_sha256": "d8330651d3bda7d879b7ee26189aeef61444a42e5e8fcf4c1743866abbc4e57e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1188",
    "kind": "arxiv",
    "version": 1
  }
}