Pith Number

pith:TUH74ZW3

pith:2025:TUH74ZW3D3INDWJ5AE6QLGW2GU

not attested not anchored not stored refs pending

Energy, equilibrium measure and entropy for toric surface maps

Jeffrey Diller, Roland Roeder

arxiv:2509.04278 v1 · 2025-09-04 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUH74ZW3D3INDWJ5AE6QLGW2GU}

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.

Cited by

2 papers in Pith

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

Random products of birational maps: Equidistribution of preimages of curves

Receipt and verification

First computed	2026-07-05T12:04:56.640934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d0ffe66db1ed0d1d93d013d059ada3530d2001ee53e94b1c2d2fb3ceec1d405

Aliases

arxiv: 2509.04278 · arxiv_version: 2509.04278v1 · doi: 10.48550/arxiv.2509.04278 · pith_short_12: TUH74ZW3D3IN · pith_short_16: TUH74ZW3D3INDWJ5 · pith_short_8: TUH74ZW3

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/TUH74ZW3D3INDWJ5AE6QLGW2GU \
  | 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: 9d0ffe66db1ed0d1d93d013d059ada3530d2001ee53e94b1c2d2fb3ceec1d405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0f4bf44be96f01f0f3a2f17b7b5fc24cbbeacbd66ecb9a21dd56e7ac11ba7e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-09-04T14:55:10Z",
    "title_canon_sha256": "09f055c1927d1652b6b61e94527e7ec9c33db86f09fc68d8546304d876b319f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04278",
    "kind": "arxiv",
    "version": 1
  }
}