Pith Number

pith:RL4JSFWP

pith:2016:RL4JSFWPL3S46Y4RAHYNDDBY5S

not attested not anchored not stored refs pending

Total Recursion over Lexicographical Orderings: Elementary Recursive Operators Beyond PR

David Cerna

arxiv:1608.07163 v3 · 2016-08-24 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RL4JSFWPL3S46Y4RAHYNDDBY5S}

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	2026-05-18T00:26:52.014389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af89916cf5ee5cf639101f0d18c38ecba09e513f780e00a42a4a07db269a88b

Aliases

arxiv: 1608.07163 · arxiv_version: 1608.07163v3 · doi: 10.48550/arxiv.1608.07163 · pith_short_12: RL4JSFWPL3S4 · pith_short_16: RL4JSFWPL3S46Y4R · pith_short_8: RL4JSFWP

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/RL4JSFWPL3S46Y4RAHYNDDBY5S \
  | 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: 8af89916cf5ee5cf639101f0d18c38ecba09e513f780e00a42a4a07db269a88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247dc919d3da43ee3a5057855ac34fa85f2522bfdf99883b3bd68069dacc0f2b",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-08-24T13:34:32Z",
    "title_canon_sha256": "3fbef77d6589897cc41ac6d3594c1ee1f4f45c07d2f62022aae2bc8a2b4ebd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07163",
    "kind": "arxiv",
    "version": 3
  }
}