Pith Number

pith:OJ3UR442

pith:2014:OJ3UR442EZKJK4I67RT52MRPIX

not attested not anchored not stored refs pending

New observations on primitive roots modulo primes

Zhi-Wei Sun

arxiv:1405.0290 v5 · 2014-04-21 · 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{OJ3UR442EZKJK4I67RT52MRPIX}

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	2026-07-05T00:44:23.342799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

727748f39a265495711efc67dd322f45cf54c75f55568ea520409fa52a1f7800

Aliases

arxiv: 1405.0290 · arxiv_version: 1405.0290v5 · doi: 10.48550/arxiv.1405.0290 · pith_short_12: OJ3UR442EZKJ · pith_short_16: OJ3UR442EZKJK4I6 · pith_short_8: OJ3UR442

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/OJ3UR442EZKJK4I67RT52MRPIX \
  | 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: 727748f39a265495711efc67dd322f45cf54c75f55568ea520409fa52a1f7800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c558a6f5263a69d0cba86942c89dd6ce9e6373b28dc2a867c0bd62aeefcacc35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-21T19:36:18Z",
    "title_canon_sha256": "6ab402e820122973e0bed1aea058097a28ed0a1c51d69d509b5a962e726f3d01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0290",
    "kind": "arxiv",
    "version": 5
  }
}