Pith Number

pith:CKHJ2LXM

pith:2019:CKHJ2LXMACDBUJRZURQK45R3WC

not attested not anchored not stored refs pending

A polynomial approach to the Collatz conjecture

Feng Pan, Jerry P. Draayer

arxiv:1905.08462 v1 · 2019-05-21 · math.NT · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKHJ2LXMACDBUJRZURQK45R3WC}

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	2026-05-17T23:45:43.183722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128e9d2eec00861a2639a460ae763bb0a9b7b5e945a9e7b78e4a23be69430550

Aliases

arxiv: 1905.08462 · arxiv_version: 1905.08462v1 · doi: 10.48550/arxiv.1905.08462 · pith_short_12: CKHJ2LXMACDB · pith_short_16: CKHJ2LXMACDBUJRZ · pith_short_8: CKHJ2LXM

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/CKHJ2LXMACDBUJRZURQK45R3WC \
  | 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: 128e9d2eec00861a2639a460ae763bb0a9b7b5e945a9e7b78e4a23be69430550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3519a42fdf695212faad96dffe3c3a17dd7c248f2121149ad08525069f6bf1a2",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-21T06:53:34Z",
    "title_canon_sha256": "eb4a7c39f1509938a00a7bc54b1023ecc24d30b44156a4e3b09d5b6eab1d37df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08462",
    "kind": "arxiv",
    "version": 1
  }
}