Pith Number

pith:VDOLJYAA

pith:2017:VDOLJYAAYIRPTX43THO36CGB6H

not attested not anchored not stored refs pending

Arithmetic degrees and dynamical degrees of endomorphisms on surfaces

Kaoru Sano, Takahiro Shibata, Yohsuke Matsuzawa

arxiv:1701.04369 v2 · 2017-01-16 · math.AG · 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{VDOLJYAAYIRPTX43THO36CGB6H}

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	2026-05-18T00:52:03.564280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8dcb4e000c222f9df9b99ddbf08c1f1d58e02211c509990ec2547dd2e383e80

Aliases

arxiv: 1701.04369 · arxiv_version: 1701.04369v2 · doi: 10.48550/arxiv.1701.04369 · pith_short_12: VDOLJYAAYIRP · pith_short_16: VDOLJYAAYIRPTX43 · pith_short_8: VDOLJYAA

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/VDOLJYAAYIRPTX43THO36CGB6H \
  | 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: a8dcb4e000c222f9df9b99ddbf08c1f1d58e02211c509990ec2547dd2e383e80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79b0188120c7e10f7b442ebcb2b3661d8464909948aaba13e9fd81a88fcfc6d",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-16T17:44:45Z",
    "title_canon_sha256": "76460686d219f9cd9541353039d5701be7d5ba18d0f12a1cece0071869ebdc3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04369",
    "kind": "arxiv",
    "version": 2
  }
}