Pith Number

pith:N2PR7BDM

pith:2010:N2PR7BDMGYYMEEJD7ACY667THY

not attested not anchored not stored refs pending

Rational Surface Automorphisms with Positive Entropy

Takato Uehara

arxiv:1009.2143 v2 · 2010-09-11 · 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{N2PR7BDMGYYMEEJD7ACY667THY}

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	2026-05-18T03:08:38.691846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9f1f846c3630c21123f8058f7bf33e1d3aac035a2e44aa4193b591d610d228

Aliases

arxiv: 1009.2143 · arxiv_version: 1009.2143v2 · doi: 10.48550/arxiv.1009.2143 · pith_short_12: N2PR7BDMGYYM · pith_short_16: N2PR7BDMGYYMEEJD · pith_short_8: N2PR7BDM

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/N2PR7BDMGYYMEEJD7ACY667THY \
  | 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: 6e9f1f846c3630c21123f8058f7bf33e1d3aac035a2e44aa4193b591d610d228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d701cd28b6b7cd7683aea8a191982670f1c09e0920489875a4277c9f5a8aaf7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-11T07:00:33Z",
    "title_canon_sha256": "c09903ce99d7e1dfd4117652a7f21583aa7a7f0ebbe26b45d84e28b0c039dda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2143",
    "kind": "arxiv",
    "version": 2
  }
}