Pith Number

pith:HCW27KDR

pith:2016:HCW27KDRMVYK3PG5O6WRWWJVN4

not attested not anchored not stored refs pending

A dichotomy law for the Diophantine properties in $\beta$-dynamical systems

Bao-Wei Wang, Michael Coons, Mumtaz Hussain

arxiv:1604.00747 v1 · 2016-04-04 · math.NT · 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{HCW27KDRMVYK3PG5O6WRWWJVN4}

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	2026-05-18T01:13:53.277779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38adafa8716570adbcdd77ad1b59356f1808c210ed805ec4747ee24ee4e6507d

Aliases

arxiv: 1604.00747 · arxiv_version: 1604.00747v1 · doi: 10.48550/arxiv.1604.00747 · pith_short_12: HCW27KDRMVYK · pith_short_16: HCW27KDRMVYK3PG5 · pith_short_8: HCW27KDR

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/HCW27KDRMVYK3PG5O6WRWWJVN4 \
  | 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: 38adafa8716570adbcdd77ad1b59356f1808c210ed805ec4747ee24ee4e6507d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299cc8051ecc36a27b144fc00843324c5f88e74b48c88921187488a03c2c9f2a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-04T06:05:45Z",
    "title_canon_sha256": "e384b0017cbe5d2adf8cf7109e6a56321e0ef84b071a1b4247913d0922be88fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00747",
    "kind": "arxiv",
    "version": 1
  }
}