Pith Number

pith:WDG7ATFX

pith:2023:WDG7ATFX46LJPNGNJBCRE2EUSA

not attested not anchored not stored refs pending

Almost perfect nonlinear power functions with exponents expressed as fractions

Daniel J. Katz, Kathleen R. O'Connor, Kyle Pacheco, Yakov Sapozhnikov

arxiv:2307.15657 v3 · 2023-07-28 · cs.IT · cs.CR · cs.DM · math.CO · math.IT · 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{WDG7ATFX46LJPNGNJBCRE2EUSA}

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	2026-06-08T01:03:40.553630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0cdf04cb7e79697b4cd48451268949021f91bf8247ec4ccf1c9d49ef30bcc49

Aliases

arxiv: 2307.15657 · arxiv_version: 2307.15657v3 · doi: 10.48550/arxiv.2307.15657 · pith_short_12: WDG7ATFX46LJ · pith_short_16: WDG7ATFX46LJPNGN · pith_short_8: WDG7ATFX

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/WDG7ATFX46LJPNGNJBCRE2EUSA \
  | 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: b0cdf04cb7e79697b4cd48451268949021f91bf8247ec4ccf1c9d49ef30bcc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de9da3a4a9f8d3e61ed0d83413e9ba08fce20253a569ac7d42c3d640215fac32",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.DM",
      "math.CO",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-07-28T16:38:38Z",
    "title_canon_sha256": "df5e04c8b8712cf933ca6361fb1b11f3c333af1713acd5ea9a558c12bcce1cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.15657",
    "kind": "arxiv",
    "version": 3
  }
}