Pith Number

pith:6IIDRKB7

pith:2012:6IIDRKB7JTDRWV7UETWTVZLHOF

not attested not anchored not stored refs pending

On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties

Joseph H. Silverman, Shu Kawaguchi

arxiv:1208.0815 v3 · 2012-08-03 · 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{6IIDRKB7JTDRWV7UETWTVZLHOF}

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	2026-05-18T03:11:59.349947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21038a83f4cc71b57f424ed3ae567715df9ba29a130c110140b02dbc9f37d04

Aliases

arxiv: 1208.0815 · arxiv_version: 1208.0815v3 · doi: 10.48550/arxiv.1208.0815 · pith_short_12: 6IIDRKB7JTDR · pith_short_16: 6IIDRKB7JTDRWV7U · pith_short_8: 6IIDRKB7

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/6IIDRKB7JTDRWV7UETWTVZLHOF \
  | 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: f21038a83f4cc71b57f424ed3ae567715df9ba29a130c110140b02dbc9f37d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "615399581584576eb7554224c0ce5d7c2e2fef8307b4809190ccd99240781db9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-03T19:02:45Z",
    "title_canon_sha256": "4676e6f52ac4351e41d4f8e83eb6046da5c44fbe5bc6f6f40c3da609217bb7d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0815",
    "kind": "arxiv",
    "version": 3
  }
}