Pith Number

pith:PWGCAE2F

pith:2023:PWGCAE2FGHQVM6MT2YUWTP2VJO

not attested not anchored not stored refs pending

Dynamical degrees of birational maps from indices of polynomials with respect to blow-ups II. 3D examples

Jaume Alonso, Kangning Wei, Yuri B. Suris

arxiv:2307.09939 v2 · 2023-07-19 · math.DS · math-ph · math.AG · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWGCAE2FGHQVM6MT2YUWTP2VJO}

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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.

Cited by

2 papers in Pith

Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations

Degree growth, orbit graphs, and functoriality for birational dynamical systems

Receipt and verification

First computed	2026-07-05T06:33:34.066674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d8c20134531e1567993d62969bf554bb32bc2220ed0aa89978deefeb63fd141

Aliases

arxiv: 2307.09939 · arxiv_version: 2307.09939v2 · doi: 10.48550/arxiv.2307.09939 · pith_short_12: PWGCAE2FGHQV · pith_short_16: PWGCAE2FGHQVM6MT · pith_short_8: PWGCAE2F

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/PWGCAE2FGHQVM6MT2YUWTP2VJO \
  | 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: 7d8c20134531e1567993d62969bf554bb32bc2220ed0aa89978deefeb63fd141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d75fdc1a74f22ed3bf7debdd9d3efdd4f4b17c1dff883e47693043d01a649a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-07-19T12:30:43Z",
    "title_canon_sha256": "b08a52fa50be025633b6ef18c9faaad62c439d1fd4bedb42b59739af4e29b745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09939",
    "kind": "arxiv",
    "version": 2
  }
}