Pith Number

pith:256P7D42

pith:2025:256P7D42KOIERKXYJGGH3KLWGY

not attested not anchored not stored refs pending

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

Beakal Gizachew Assefa, Eyob Solomon Getachew

arxiv:2501.04032 v2 · 2025-01-01 · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{256P7D42KOIERKXYJGGH3KLWGY}

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	2026-07-05T11:29:34.391197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77cff8f9a539048aaf8498c7da97636101e9a1cfa6476804cbbf562f741d26b

Aliases

arxiv: 2501.04032 · arxiv_version: 2501.04032v2 · doi: 10.48550/arxiv.2501.04032 · pith_short_12: 256P7D42KOIE · pith_short_16: 256P7D42KOIERKXY · pith_short_8: 256P7D42

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/256P7D42KOIERKXYJGGH3KLWGY \
  | 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: d77cff8f9a539048aaf8498c7da97636101e9a1cfa6476804cbbf562f741d26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cf6c3ad090bac0b9add19919dcae11b1e203df14b41d88534cecdd5a16263a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2025-01-01T10:52:31Z",
    "title_canon_sha256": "6aec3dfb948344b27f2dfe44542b6f873575dd5bf625bb190ecdc4665d5cb549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04032",
    "kind": "arxiv",
    "version": 2
  }
}