Pith Number

pith:74YO7PGL

pith:2013:74YO7PGLK3YXJGBSVQGEE2PGM5

not attested not anchored not stored refs pending

Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties

Joseph H. Silverman, Shu Kawaguchi

arxiv:1301.4964 v2 · 2013-01-21 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74YO7PGLK3YXJGBSVQGEE2PGM5}

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	2026-05-18T00:36:36.020569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff30efbccb56f1749832ac0c4269e66758abe7a4419d3691123f751647da2cfa

Aliases

arxiv: 1301.4964 · arxiv_version: 1301.4964v2 · doi: 10.48550/arxiv.1301.4964 · pith_short_12: 74YO7PGLK3YX · pith_short_16: 74YO7PGLK3YXJGBS · pith_short_8: 74YO7PGL

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/74YO7PGLK3YXJGBSVQGEE2PGM5 \
  | 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: ff30efbccb56f1749832ac0c4269e66758abe7a4419d3691123f751647da2cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830f1a455ed6dd2695fa8b7dcade60e8eb348964dce88b85d0441b38d025b961",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-21T19:14:37Z",
    "title_canon_sha256": "13493fac826bda118ae6efa376195131615284be84f87b3d1dd3a82f26fc88ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4964",
    "kind": "arxiv",
    "version": 2
  }
}