Pith Number

pith:J4SZ274O

pith:2016:J4SZ274OJAPVVRQLH6UMJRF63N

not attested not anchored not stored refs pending

Three Theorems on odd degree Chebyshev polynomials and more generalized permutation polynomials over a ring of module $2^w$

Atsushi Iwasaki, Ken Umeno

arxiv:1602.08238 v2 · 2016-02-26 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4SZ274OJAPVVRQLH6UMJRF63N}

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	2026-05-18T01:18:06.494626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f259d7f8e481f5ac60b3fa8c4c4bedb63514ecae59df51a7620fc6da7366b20

Aliases

arxiv: 1602.08238 · arxiv_version: 1602.08238v2 · doi: 10.48550/arxiv.1602.08238 · pith_short_12: J4SZ274OJAPV · pith_short_16: J4SZ274OJAPVVRQL · pith_short_8: J4SZ274O

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/J4SZ274OJAPVVRQLH6UMJRF63N \
  | 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: 4f259d7f8e481f5ac60b3fa8c4c4bedb63514ecae59df51a7620fc6da7366b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab28bf1b793f9a5c179c3b87c2d5011c4f5da2317f84a5757a58a47b0332d928",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-02-26T08:45:09Z",
    "title_canon_sha256": "4739f81d0721dfe55e13ec78a4a3a81651edb87f257fd22328ffccb31af6f19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08238",
    "kind": "arxiv",
    "version": 2
  }
}