Pith Number

pith:WI3HHXLS

pith:2016:WI3HHXLSKNWCTYWWUUGIPL3N35

not attested not anchored not stored refs pending

Remarks on the distribution of the primitive roots of a prime

Shane Chern

arxiv:1603.02391 v1 · 2016-03-08 · 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{WI3HHXLSKNWCTYWWUUGIPL3N35}

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	2026-05-18T00:31:52.165962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23673dd72536c29e2d6a50c87af6ddf5cccadc3f4ff039ff52666ddb06f38ef

Aliases

arxiv: 1603.02391 · arxiv_version: 1603.02391v1 · doi: 10.48550/arxiv.1603.02391 · pith_short_12: WI3HHXLSKNWC · pith_short_16: WI3HHXLSKNWCTYWW · pith_short_8: WI3HHXLS

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/WI3HHXLSKNWCTYWWUUGIPL3N35 \
  | 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: b23673dd72536c29e2d6a50c87af6ddf5cccadc3f4ff039ff52666ddb06f38ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c2d1fc8b111e9852987b755d7047b4ac7f3a61895fc3ad6adde63cca75af67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-08T06:33:04Z",
    "title_canon_sha256": "f32696b8633ea7d8977b52d5f181a0ce41415b09aa4848c910e02d8f71d6f49e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02391",
    "kind": "arxiv",
    "version": 1
  }
}