Pith Number

pith:R44LUQME

pith:2011:R44LUQMETBQJZQLJRXNHYTS3L4

not attested not anchored not stored refs pending

On R. Chapman's "evil determinant": case p=1 (mod 4)

Maxim Vsemirnov

arxiv:1108.4031 v2 · 2011-08-19 · 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{R44LUQMETBQJZQLJRXNHYTS3L4}

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	2026-05-18T03:59:25.322948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f38ba418498609cc1698dda7c4e5b5f3c77a6964559065468ed302635d6e6e2

Aliases

arxiv: 1108.4031 · arxiv_version: 1108.4031v2 · doi: 10.48550/arxiv.1108.4031 · pith_short_12: R44LUQMETBQJ · pith_short_16: R44LUQMETBQJZQLJ · pith_short_8: R44LUQME

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/R44LUQMETBQJZQLJRXNHYTS3L4 \
  | 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: 8f38ba418498609cc1698dda7c4e5b5f3c77a6964559065468ed302635d6e6e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c77e0ae88f9eb88d70a819a86a9547595c01258d8a6a0dd3bc17e02bd202d17e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-19T19:49:00Z",
    "title_canon_sha256": "32a2ba4b0da834f77c7fb174aedef94f54483a5d05adc5f82ff15004723f8522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4031",
    "kind": "arxiv",
    "version": 2
  }
}