Pith Number

pith:4YYZB3DE

pith:2021:4YYZB3DEF5YKGLRSA5ALY4QLA6

not attested not anchored not stored refs pending

Arithmetic properties of $3$-cycles of quadratic maps over $\mathbb{Q}$

Patrick Morton, Serban Raianu

arxiv:2105.07435 v5 · 2021-05-16 · 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{4YYZB3DEF5YKGLRSA5ALY4QLA6}

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	2026-07-05T03:48:41.033304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e63190ec642f70a32e320740bc720b07b0ef446c2448af6e9b37130c74acd908

Aliases

arxiv: 2105.07435 · arxiv_version: 2105.07435v5 · doi: 10.48550/arxiv.2105.07435 · pith_short_12: 4YYZB3DEF5YK · pith_short_16: 4YYZB3DEF5YKGLRS · pith_short_8: 4YYZB3DE

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/4YYZB3DEF5YKGLRSA5ALY4QLA6 \
  | 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: e63190ec642f70a32e320740bc720b07b0ef446c2448af6e9b37130c74acd908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba82af80fcc829537f05b70ac0d89eda4d975811336f9ec808c4fbb00cf5f2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-16T13:11:13Z",
    "title_canon_sha256": "2202256449746095c1bd9e6d28ac3cbecb285b54381177b9898078397124ae34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.07435",
    "kind": "arxiv",
    "version": 5
  }
}