Pith Number

pith:PWV5RAWX

pith:2015:PWV5RAWXAMVVVVF345Z2UYEV55

not attested not anchored not stored refs pending

The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane

Junyi Xie

arxiv:1510.07684 v3 · 2015-10-26 · math.DS · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWV5RAWXAMVVVVF345Z2UYEV55}

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	2026-05-17T23:53:13.529115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dabd882d7032b5ad4bbe773aa6095ef542f1cdec06b02f2cb031a5da964c579

Aliases

arxiv: 1510.07684 · arxiv_version: 1510.07684v3 · doi: 10.48550/arxiv.1510.07684 · pith_short_12: PWV5RAWXAMVV · pith_short_16: PWV5RAWXAMVVVVF3 · pith_short_8: PWV5RAWX

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/PWV5RAWXAMVVVVF345Z2UYEV55 \
  | 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: 7dabd882d7032b5ad4bbe773aa6095ef542f1cdec06b02f2cb031a5da964c579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6645c73b4a65e08914ac15aeaa765373a251123ac02fd582ff0444acdc2944db",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-26T21:14:05Z",
    "title_canon_sha256": "0295e7bd9c2a143921770c8ec91f978ea3b0f2401b50b173627238295989df71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07684",
    "kind": "arxiv",
    "version": 3
  }
}