Pith Number

pith:MC7TRM7U

pith:2016:MC7TRM7URFIVVGK2PX22V3ZL3G

not attested not anchored not stored refs pending

Analogues of the $3x + 1$ Problem in Polynomial Rings of Characteristic 2

Daniel Nichols

arxiv:1610.02545 v1 · 2016-10-08 · 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{MC7TRM7URFIVVGK2PX22V3ZL3G}

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	2026-05-18T01:02:51.269086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60bf38b3f489515a995a7df5aaef2bd98ba259bbb278d365f8f57165a0bdd2b4

Aliases

arxiv: 1610.02545 · arxiv_version: 1610.02545v1 · doi: 10.48550/arxiv.1610.02545 · pith_short_12: MC7TRM7URFIV · pith_short_16: MC7TRM7URFIVVGK2 · pith_short_8: MC7TRM7U

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/MC7TRM7URFIVVGK2PX22V3ZL3G \
  | 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: 60bf38b3f489515a995a7df5aaef2bd98ba259bbb278d365f8f57165a0bdd2b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ccdbffb7ae622c25233817949b4ac4208407eef863955cf097e78b499af60bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-08T15:26:05Z",
    "title_canon_sha256": "818f37366a734c3af60ee5a951efe7611bb4d303327bc9a6f1391d6cdbcfae3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02545",
    "kind": "arxiv",
    "version": 1
  }
}