Pith Number

pith:6S7WHJLL

pith:2018:6S7WHJLL7GZNMOZPG3GA2HSTGV

not attested not anchored not stored refs pending

An a priori bound of endomorphisms of $\mathbb{C}\mathbb{P}^k$ and a remark on the Makienko conjecture in dimension one

Y\^usuke Okuyama

arxiv:1806.07152 v4 · 2018-06-19 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6S7WHJLL7GZNMOZPG3GA2HSTGV}

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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	2026-05-17T23:55:34.359656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4bf63a56bf9b2d63b2f36cc0d1e5335736ebc6ee11ba962dfa9b360a8109fff

Aliases

arxiv: 1806.07152 · arxiv_version: 1806.07152v4 · doi: 10.48550/arxiv.1806.07152 · pith_short_12: 6S7WHJLL7GZN · pith_short_16: 6S7WHJLL7GZNMOZP · pith_short_8: 6S7WHJLL

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/6S7WHJLL7GZNMOZPG3GA2HSTGV \
  | 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: f4bf63a56bf9b2d63b2f36cc0d1e5335736ebc6ee11ba962dfa9b360a8109fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "955ae0c963f6be8152d676011a184e0a6788207c252db966b1973fc07d7f146c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-19T10:58:09Z",
    "title_canon_sha256": "3ce06c4e8709ec5f501a7661db87b47dd86ba9b032dddab30b08cd79f05c0bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07152",
    "kind": "arxiv",
    "version": 4
  }
}