Pith Number

pith:WZJ7XXAO

pith:2016:WZJ7XXAOITLTF2YXI2G4N636RO

not attested not anchored not stored refs pending

A classification of degree $2$ semi-stable rational maps $\mathbb{P}^2\to\mathbb{P}^2$ with large finite dynamical automorphism group

Joseph H. Silverman, Michelle Manes

arxiv:1607.05772 v2 · 2016-07-19 · math.AG · math.DS · 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{WZJ7XXAOITLTF2YXI2G4N636RO}

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	2026-05-18T00:36:41.260488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b653fbdc0e44d732eb17468dc6fb7e8ba8f23d12066bac7ad7d40e87f8c14e80

Aliases

arxiv: 1607.05772 · arxiv_version: 1607.05772v2 · doi: 10.48550/arxiv.1607.05772 · pith_short_12: WZJ7XXAOITLT · pith_short_16: WZJ7XXAOITLTF2YX · pith_short_8: WZJ7XXAO

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/WZJ7XXAOITLTF2YXI2G4N636RO \
  | 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: b653fbdc0e44d732eb17468dc6fb7e8ba8f23d12066bac7ad7d40e87f8c14e80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b3bad7bded84293410b06412c6e126206fabf0ee62c027e64161f8a42a2a870",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-19T22:17:53Z",
    "title_canon_sha256": "87fcc268dda5aafc1ed4bf51604c789ecf9fe9e8c2ac574bb7b2bb79831a0309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05772",
    "kind": "arxiv",
    "version": 2
  }
}