Pith Number

pith:KR3VF4H6

pith:2024:KR3VF4H6RTJJO27MDSCZAK76X4

not attested not anchored not stored refs pending

Specifying and Verifying the Convergence Stairs of the Collatz Program

Ali Ebnenasir

arxiv:2403.04777 v1 · 2024-02-29 · cs.DM · cs.DS · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KR3VF4H6RTJJO27MDSCZAK76X4}

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.

Cited by

1 paper in Pith

Efficient Computation of Collatz Sequence Stopping Times: A Novel Algorithmic Approach

Receipt and verification

First computed	2026-07-05T07:53:34.197006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547752f0fe8cd2976bec1c85902bfebf062303a8b6064870877d7202837f40b6

Aliases

arxiv: 2403.04777 · arxiv_version: 2403.04777v1 · doi: 10.48550/arxiv.2403.04777 · pith_short_12: KR3VF4H6RTJJ · pith_short_16: KR3VF4H6RTJJO27M · pith_short_8: KR3VF4H6

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/KR3VF4H6RTJJO27MDSCZAK76X4 \
  | 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: 547752f0fe8cd2976bec1c85902bfebf062303a8b6064870877d7202837f40b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f22be37d3f1caed41134909ab253b286aee923fee741784518c56700108e08c",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2024-02-29T17:36:54Z",
    "title_canon_sha256": "72cfb9da6d2a2f7f2a493a0882aef3a8305fcd3c85c952102e476d042f40576d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.04777",
    "kind": "arxiv",
    "version": 1
  }
}