Pith Number

pith:T3VPPVZB

pith:2016:T3VPPVZBUM6RRCPSVCIIUSSZZY

not attested not anchored not stored refs pending

Value distribution of the sequences of the derivatives of iterated polynomials

Y\^usuke Okuyama

arxiv:1607.08037 v3 · 2016-07-27 · math.CV · 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{T3VPPVZBUM6RRCPSVCIIUSSZZY}

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	2026-05-18T00:58:54.977247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eeaf7d721a33d1889f2a8908a4a59ce2a0cd3d681b3d65ca7b40c10d7cc6b15

Aliases

arxiv: 1607.08037 · arxiv_version: 1607.08037v3 · doi: 10.48550/arxiv.1607.08037 · pith_short_12: T3VPPVZBUM6R · pith_short_16: T3VPPVZBUM6RRCPS · pith_short_8: T3VPPVZB

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/T3VPPVZBUM6RRCPSVCIIUSSZZY \
  | 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: 9eeaf7d721a33d1889f2a8908a4a59ce2a0cd3d681b3d65ca7b40c10d7cc6b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd028e0c95f021aba88c0c8a8e143e6c985da55862b0d8763d8f3964b7b8f6cd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-07-27T11:10:14Z",
    "title_canon_sha256": "476c48514235d60ac1652f0c844231695199ceca704b2986c21faf5ae5b2072b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08037",
    "kind": "arxiv",
    "version": 3
  }
}