Pith Number

pith:7LCITSLI

pith:2018:7LCITSLILSNZIJ4YCXE3UV7UTV

not attested not anchored not stored refs pending

An a priori bound of rational functions on the Berkovich projective line

Y\^usuke Okuyama

arxiv:1805.07668 v2 · 2018-05-19 · math.DS · math.CV · 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{7LCITSLILSNZIJ4YCXE3UV7UTV}

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	2026-05-17T23:56:38.665886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac489c9685c9b94279815c9ba57f49d45983c74c64ec55084af2956cfbd7072

Aliases

arxiv: 1805.07668 · arxiv_version: 1805.07668v2 · doi: 10.48550/arxiv.1805.07668 · pith_short_12: 7LCITSLILSNZ · pith_short_16: 7LCITSLILSNZIJ4Y · pith_short_8: 7LCITSLI

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/7LCITSLILSNZIJ4YCXE3UV7UTV \
  | 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: fac489c9685c9b94279815c9ba57f49d45983c74c64ec55084af2956cfbd7072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1aa9422eb8b7192f312cff5b5e7ec47d895c24caeafff96574c58eb58f8d6c",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-19T22:28:08Z",
    "title_canon_sha256": "97dc17eb0728fb9db9407ba0c6bb9371215c0b0955a61ce25bb44ca4ed9d7ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07668",
    "kind": "arxiv",
    "version": 2
  }
}