Pith Number

pith:B7QYP2MC

pith:2011:B7QYP2MCIOAGSZL54NRSUHBXAJ

not attested not anchored not stored refs pending

A Note On The Spectral Norms of The Circulant Matrices Connected Integer Number Sequences

Durmu\c{s} Bozkurt

arxiv:1105.1732 v1 · 2011-05-09 · 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{B7QYP2MCIOAGSZL54NRSUHBXAJ}

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	2026-05-18T04:22:32.591388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe187e982438069657de3632a1c3702594e1467babba1cd11763ea7d6d92808

Aliases

arxiv: 1105.1732 · arxiv_version: 1105.1732v1 · doi: 10.48550/arxiv.1105.1732 · pith_short_12: B7QYP2MCIOAG · pith_short_16: B7QYP2MCIOAGSZL5 · pith_short_8: B7QYP2MC

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/B7QYP2MCIOAGSZL54NRSUHBXAJ \
  | 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: 0fe187e982438069657de3632a1c3702594e1467babba1cd11763ea7d6d92808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a0ac495571797b9a6df35bdc698e343ec928ae478cdbaa19d63978a21b51dac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-09T17:13:27Z",
    "title_canon_sha256": "67b4704c40ee25dfc8834a8dc1ac532d2cd1f402e550e7b479e2b6f7fe563473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1732",
    "kind": "arxiv",
    "version": 1
  }
}