Pith Number

pith:X62IP2US

pith:2019:X62IP2USVSCJ3J5S3U4SIQTRE3

not attested not anchored not stored refs pending

Permutation polynomials of degree 8 over finite fields of characteristic 2

Xiang Fan

arxiv:1903.10309 v1 · 2019-03-25 · 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{X62IP2USVSCJ3J5S3U4SIQTRE3}

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	2026-07-05T00:47:47.227143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb487ea92ac849da7b2dd3924427126d4e43b7868f7017a5f9b3cd05f40770c

Aliases

arxiv: 1903.10309 · arxiv_version: 1903.10309v1 · doi: 10.48550/arxiv.1903.10309 · pith_short_12: X62IP2USVSCJ · pith_short_16: X62IP2USVSCJ3J5S · pith_short_8: X62IP2US

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/X62IP2USVSCJ3J5S3U4SIQTRE3 \
  | 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: bfb487ea92ac849da7b2dd3924427126d4e43b7868f7017a5f9b3cd05f40770c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2c86626f4dfe0d72516dd97ffc694e6b129e20285d511984928235b06f5239",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-25T13:35:52Z",
    "title_canon_sha256": "88d815ea1cef4f36999eb4d67f7f75efc49a5e20c13ea709fff16b3725ae828a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10309",
    "kind": "arxiv",
    "version": 1
  }
}