Pith Number

pith:N5Y3OOJN

pith:2024:N5Y3OOJNBYEBCRVEO7GLO6YGUQ

not attested not anchored not stored refs pending

On the determinants of matrices with elements from arbitrary sets

Igor E. Shparlinski, Ilya D. Shkredov

arxiv:2408.04350 v1 · 2024-08-08 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5Y3OOJNBYEBCRVEO7GLO6YGUQ}

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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.

Cited by

1 paper in Pith

Counting matrices over finite rank multiplicative groups

Receipt and verification

First computed	2026-07-05T08:53:31.996159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f71b7392d0e081146a477ccb77b06a404c6b44c51c8b1b95b6951792c7bbb9b

Aliases

arxiv: 2408.04350 · arxiv_version: 2408.04350v1 · doi: 10.48550/arxiv.2408.04350 · pith_short_12: N5Y3OOJNBYEB · pith_short_16: N5Y3OOJNBYEBCRVE · pith_short_8: N5Y3OOJN

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/N5Y3OOJNBYEBCRVEO7GLO6YGUQ \
  | 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: 6f71b7392d0e081146a477ccb77b06a404c6b44c51c8b1b95b6951792c7bbb9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50075ee896b591bbb5b669201d6bb5a654ac20803ec5e66053a2dacb3519408",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-08T10:23:22Z",
    "title_canon_sha256": "08d676099ea045adae932fd7fa55b7beda3a0e5d909a1b0b7ab245c5121db7da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.04350",
    "kind": "arxiv",
    "version": 1
  }
}