Pith Number

pith:XPZH6BCR

pith:2016:XPZH6BCRDSMAHTPFFRLGLUKWB5

not attested not anchored not stored refs pending

Simultaneously preperiodic points for families of polynomials in normal form

Dragos Ghioca, Khoa Dang Nguyen, Liang-Chung Hsia

arxiv:1610.09422 v1 · 2016-10-28 · 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{XPZH6BCRDSMAHTPFFRLGLUKWB5}

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	2026-05-18T01:00:52.045523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf27f04511c9803cde52c5665d1560f50302a0eed1ace0097cb29e454abf113

Aliases

arxiv: 1610.09422 · arxiv_version: 1610.09422v1 · doi: 10.48550/arxiv.1610.09422 · pith_short_12: XPZH6BCRDSMA · pith_short_16: XPZH6BCRDSMAHTPF · pith_short_8: XPZH6BCR

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/XPZH6BCRDSMAHTPFFRLGLUKWB5 \
  | 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: bbf27f04511c9803cde52c5665d1560f50302a0eed1ace0097cb29e454abf113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9f8d82a8cafb87fd81dc486c9a6523f18eba5fdbdef3c8a22b5771c593a0ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-28T22:48:39Z",
    "title_canon_sha256": "da4aa9cb1fd96e230ea35c39b3f2ca8176de3e3bf6bf7da8bf7c82ee598a4a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09422",
    "kind": "arxiv",
    "version": 1
  }
}