Pith Number

pith:E4UTOYZU

pith:2014:E4UTOYZUNBDLHEPEC2B3XIM2JB

not attested not anchored not stored refs pending

Note on the points with dense orbit under $\times 2$ and $\times 3$ maps

Wenya Wang

arxiv:1410.0129 v1 · 2014-10-01 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4UTOYZUNBDLHEPEC2B3XIM2JB}

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	2026-05-18T02:41:17.929168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27293763346846b391e41683bba19a485ba13485e84d868416f92ed37d9ea50c

Aliases

arxiv: 1410.0129 · arxiv_version: 1410.0129v1 · doi: 10.48550/arxiv.1410.0129 · pith_short_12: E4UTOYZUNBDL · pith_short_16: E4UTOYZUNBDLHEPE · pith_short_8: E4UTOYZU

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/E4UTOYZUNBDLHEPEC2B3XIM2JB \
  | 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: 27293763346846b391e41683bba19a485ba13485e84d868416f92ed37d9ea50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f683a0b775f5c364bcf0a7dd0fb5b3f2d66a223eac7702c3e5a6d4cdcc035e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-01T07:31:08Z",
    "title_canon_sha256": "8aadd8121687e42dc8e37709fc73e891c435483cd8c35e8ddc887818561e8f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0129",
    "kind": "arxiv",
    "version": 1
  }
}