Pith Number

pith:N6YTPFQH

pith:2022:N6YTPFQHWXCD6GFQDQXFNIHLG4

not attested not anchored not stored refs pending

Characteristic numbers and characteristic equations of parity vectors of Collatz sequences

Raouf Rajab

arxiv:2209.03730 v1 · 2022-07-27 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6YTPFQHWXCD6GFQDQXFNIHLG4}

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	2026-07-05T04:55:45.236939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb1379607b5c43f18b01c2e56a0eb372727e9f6b163d0b78e09109ddc48bf01

Aliases

arxiv: 2209.03730 · arxiv_version: 2209.03730v1 · doi: 10.48550/arxiv.2209.03730 · pith_short_12: N6YTPFQHWXCD · pith_short_16: N6YTPFQHWXCD6GFQ · pith_short_8: N6YTPFQH

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/N6YTPFQHWXCD6GFQDQXFNIHLG4 \
  | 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: 6fb1379607b5c43f18b01c2e56a0eb372727e9f6b163d0b78e09109ddc48bf01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a979d8581ec866af79b692feb6306e48af39a0b8a2546f1cac79cb9cff61d50a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2022-07-27T22:38:04Z",
    "title_canon_sha256": "d45e27b0fbf5cd8ab998cadc76e2bde373795000961321bef86f6c66b64f8aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03730",
    "kind": "arxiv",
    "version": 1
  }
}