Pith Number

pith:IN4U7P5T

pith:2016:IN4U7P5TY2D4H3QOPTXEG3GZPU

not attested not anchored not stored refs pending

Dynamical Degree and Arithmetic Degree of Endomorphisms on Product Varieties

Kaoru Sano

arxiv:1604.04174 v3 · 2016-04-14 · math.NT · math.AG · 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{IN4U7P5TY2D4H3QOPTXEG3GZPU}

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	2026-05-18T00:01:32.396759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43794fbfb3c687c3ee0e7cee436cd97d1847de131df371418587ff602240d130

Aliases

arxiv: 1604.04174 · arxiv_version: 1604.04174v3 · doi: 10.48550/arxiv.1604.04174 · pith_short_12: IN4U7P5TY2D4 · pith_short_16: IN4U7P5TY2D4H3QO · pith_short_8: IN4U7P5T

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/IN4U7P5TY2D4H3QOPTXEG3GZPU \
  | 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: 43794fbfb3c687c3ee0e7cee436cd97d1847de131df371418587ff602240d130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97bc03bbd02ef6e24f472c3cc0f92ce2033f19ccdad6cd0cff7d4af6701faa32",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-14T14:49:18Z",
    "title_canon_sha256": "f58c083e73d93b527512b73ddeaee2936cf5968d16e66dc91167131f1e058e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04174",
    "kind": "arxiv",
    "version": 3
  }
}