Pith Number

pith:F2H2MNOK

pith:2011:F2H2MNOKX3OGEBD6ATE5G2SJDQ

not attested not anchored not stored refs pending

Some (Hopf) algebraic properties of circulant matrices

Florin Panaite, Helena Albuquerque

arxiv:1110.1546 v1 · 2011-10-07 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2H2MNOKX3OGEBD6ATE5G2SJDQ}

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	2026-05-18T04:11:29.807777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8fa635cabedc62047e04c9d36a491c3e477f27c2b6cc8e6622894283aa69b5

Aliases

arxiv: 1110.1546 · arxiv_version: 1110.1546v1 · doi: 10.48550/arxiv.1110.1546 · pith_short_12: F2H2MNOKX3OG · pith_short_16: F2H2MNOKX3OGEBD6 · pith_short_8: F2H2MNOK

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/F2H2MNOKX3OGEBD6ATE5G2SJDQ \
  | 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: 2e8fa635cabedc62047e04c9d36a491c3e477f27c2b6cc8e6622894283aa69b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee99d44780bc52811683919270ebe7295fdabd86db498bca889c3d4b39e9b99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-07T14:35:15Z",
    "title_canon_sha256": "9635cb76c8c01bdc5caa5b66602e8f75d06a6a0cbf26b9b51eff7afadc2879ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1546",
    "kind": "arxiv",
    "version": 1
  }
}