Pith Number

pith:HU6OARX5

pith:2019:HU6OARX5F4LELDHIB4TLQJHXVD

not attested not anchored not stored refs pending

The Periodicity to a Kind of Generalized Collatz Problem

Qing-You Sun, Sensen Chen, Yushu Zhu

arxiv:1903.03365 v3 · 2019-03-08 · 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{HU6OARX5F4LELDHIB4TLQJHXVD}

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	2026-05-17T23:50:33.153887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3ce046fd2f16458ce80f26b824f7a8e92009a948336df3e6e74c957d002d7b

Aliases

arxiv: 1903.03365 · arxiv_version: 1903.03365v3 · doi: 10.48550/arxiv.1903.03365 · pith_short_12: HU6OARX5F4LE · pith_short_16: HU6OARX5F4LELDHI · pith_short_8: HU6OARX5

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/HU6OARX5F4LELDHIB4TLQJHXVD \
  | 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: 3d3ce046fd2f16458ce80f26b824f7a8e92009a948336df3e6e74c957d002d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ee68a33b9d958e9280bb65396145105c5a64e6748d9f3b22c5dd1e52b265e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-08T11:01:23Z",
    "title_canon_sha256": "035552a20344e88ce3f000ca57321d9e179f0f9aa4d7b447fba6797a16d5bdfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03365",
    "kind": "arxiv",
    "version": 3
  }
}