Pith Number

pith:HCDWVQE6

pith:2018:HCDWVQE6AN4SHE6GVTZDBZ5TFA

not attested not anchored not stored refs pending

Some permutations over ${\mathbb F}_p$ concerning primitive roots

Hao Pan, Li-Yuan Wang

arxiv:1810.11642 v1 · 2018-10-27 · 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{HCDWVQE6AN4SHE6GVTZDBZ5TFA}

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	2026-05-18T00:02:07.925087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38876ac09e03792393c6acf230e7b32801c742e3f70d44aaa0d4828e71993df7

Aliases

arxiv: 1810.11642 · arxiv_version: 1810.11642v1 · doi: 10.48550/arxiv.1810.11642 · pith_short_12: HCDWVQE6AN4S · pith_short_16: HCDWVQE6AN4SHE6G · pith_short_8: HCDWVQE6

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/HCDWVQE6AN4SHE6GVTZDBZ5TFA \
  | 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: 38876ac09e03792393c6acf230e7b32801c742e3f70d44aaa0d4828e71993df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9972eaef763b2fb824b4022ecf0624a62533870670eb67465d61b6d20b888e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-27T13:40:22Z",
    "title_canon_sha256": "af3c5b4705054d4237676b9e8503094341a927f5c1abf90a538e910f23a112b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11642",
    "kind": "arxiv",
    "version": 1
  }
}