Pith Number

pith:PKYNY2WB

pith:2018:PKYNY2WBFAEJGAJZJFMHLOTW7E

not attested not anchored not stored refs pending

Characterizations of the $d$th-power residue matrices over finite fields

Evan P. Dummit

arxiv:1809.10225 v1 · 2018-09-26 · 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{PKYNY2WBFAEJGAJZJFMHLOTW7E}

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	2026-05-18T00:04:38.806142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab0dc6ac12808930139495875ba76f922421c1afc909e8ff4e0a30494801ce0

Aliases

arxiv: 1809.10225 · arxiv_version: 1809.10225v1 · doi: 10.48550/arxiv.1809.10225 · pith_short_12: PKYNY2WBFAEJ · pith_short_16: PKYNY2WBFAEJGAJZ · pith_short_8: PKYNY2WB

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/PKYNY2WBFAEJGAJZJFMHLOTW7E \
  | 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: 7ab0dc6ac12808930139495875ba76f922421c1afc909e8ff4e0a30494801ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a614e23545999b2d412b79c3ea3449f8a2a93a08e5c4917d98c27297a240ce9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-26T20:43:26Z",
    "title_canon_sha256": "1bc2e754c586fc7f7c1a31a804a0d9641fa56ff907ce2a9bf9f3916d37964bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10225",
    "kind": "arxiv",
    "version": 1
  }
}