Pith Number

pith:PP6RA5OI

pith:2024:PP6RA5OIZJDMP25GAPWNVDDPH4

not attested not anchored not stored refs pending

Pointwise order of generalized Hofstadter functions G, H and beyond

PICUBE), Pierre Letouzey (IRIF (UMR\_8243), Shuo Li (H3I), Wolfgang Steiner (IRIF (UMR\_8243))

arxiv:2410.00529 v2 · 2024-10-01 · cs.DM · cs.FL · math.CO · 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{PP6RA5OIZJDMP25GAPWNVDDPH4}

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	2026-05-25T02:02:05.746140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bfd1075c8ca46c7eba603ecda8c6f3f2e0fad33164ca0c205c34044155294b4

Aliases

arxiv: 2410.00529 · arxiv_version: 2410.00529v2 · doi: 10.48550/arxiv.2410.00529 · pith_short_12: PP6RA5OIZJDM · pith_short_16: PP6RA5OIZJDMP25G · pith_short_8: PP6RA5OI

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/PP6RA5OIZJDMP25GAPWNVDDPH4 \
  | 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: 7bfd1075c8ca46c7eba603ecda8c6f3f2e0fad33164ca0c205c34044155294b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff567ebaa2c892b883773719943317ec0106159de04090b2250c2786f567e8b9",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2024-10-01T09:15:10Z",
    "title_canon_sha256": "71754adf196b6a2341a2bfcee97eb838d6c09fb5544cd0c80d7119d26b2edab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.00529",
    "kind": "arxiv",
    "version": 2
  }
}